# Recent questions tagged triangle

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What is Pascal's triangle?
What is Pascal's triangle?What is Pascal's triangle? ...
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A triangle has interior angles with measures in the ratio of 1:2:3. If the longest side length of the triangle is 18, what is the length of the shortest side?
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Calculate the area of the triangle with the vertices $$A(1,-1,2), B(3,1,-1), C(-1,2,5)$$
Calculate the area of the triangle with the vertices $$A(1,-1,2), B(3,1,-1), C(-1,2,5)$$Calculate the area of the triangle with the vertices $$A(1,-1,2), B(3,1,-1), C(-1,2,5)$$ ...
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An object is $6 \mathrm{~m}$ away from the base of a mast. The angle of depression of the object from the top of the mast is $50^{\circ}$, Find, correct to 2 decimal places, the height of the mastAn object is $6 \mathrm{~m}$ away from the base of a mast. The angle of depression of the object from the top of the mast is $50^{\circ}$, Find, c ...
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If a right cone is cut by a plane which is parallel to one slant side of the cone, then the true shape of the curve to be produced is _________.
If a right cone is cut by a plane which is parallel to one slant side of the cone, then the true shape of the curve to be produced is _________.If a right cone is cut by a plane which is parallel to one slant side of the cone, then the true shape of the curve to be produced is _________. A. a ...
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Which of the following statements is not correct in relation to the construction shown in the figure?
Which of the following statements is not correct in relation to the construction shown in the figure? Which of the following statements is not correct in relation to the construction shown in the figure? A. Circumscribing a circle in a triangl ...
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A learner did a project on climate change At 14: 00 each day, she record ed the temperature (in $\left.{ }^{\circ} \mathrm{C}\right)$ for a certain town. The information is given in the frequency table below. A learner did a project on climate change At 14: 00 each day, she record ed the temperature (in $\left.{ }^{\circ} \mathrm{C}\right)$ for a certai ...
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The height of an isosceles triangle is $(18-x) \mathrm{mm}$ and the base is $(20+2 \mathrm{x}) \mathrm{mm}$. Determine $\times$ for a maximum area.
The height of an isosceles triangle is $(18-x) \mathrm{mm}$ and the base is $(20+2 \mathrm{x}) \mathrm{mm}$. Determine $\times$ for a maximum area.The height of an isosceles triangle is $(18-x) \mathrm{mm}$ and the base is $(20+2 \mathrm{x}) \mathrm{mm}$. Determine $\times$ for a maximum ar ...
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Measurements are collected from 100 subjects from each of two sources. The data yield the following frequency histograms. The number above each rectangle is its height.
Measurements are collected from 100 subjects from each of two sources. The data yield the following frequency histograms. The number above each rectangle is its height. Measurements are collected from 100 subjects from each of two sources. The data yield the following frequency histograms. The number above each rect ...
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State the triangle inequality or Minkowski inequality
State the triangle inequality or Minkowski inequalityState the triangle inequality or Minkowski inequality ...
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The angle of elevation of the top of cell phone tower $B$ from the top of cell phone tower $A$ is $30^{\circ}$. The angle of depression of the foot of cell phone tower B from the top of cell phone tower A is $60^{\circ}$. The angle of elevation of the top of cell phone tower $B$ from the top of cell phone tower $A$ is $30^{\circ}$. The angle of depression of the f ...
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Find $\frac{1}{a}+\frac{1}{b}$ when $a+b=10$ and $a b=\frac{1}{2}$
Find $\frac{1}{a}+\frac{1}{b}$ when $a+b=10$ and $a b=\frac{1}{2}$Find $\dfrac{1}{a}+\dfrac{1}{b}$ when $a+b=10$ and $a b=\dfrac{1}{2}$ ...
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Diameter $A B$ is perpendicular to chord $C D$ at $E . A E=16$ and $E B=4$. What is the length of $C D$ ?
Diameter $A B$ is perpendicular to chord $C D$ at $E . A E=16$ and $E B=4$. What is the length of $C D$ ? Diameter $A B$ is perpendicular to chord $C D$ at $E . A E=16$ and $E B=4$. What is the length of $C D$ ? ...
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The sides of a rectangle are positive whole numbers. If its area is $A$ and its perimeter is $P$, which of the following numbers cannot equal $A+P ?$
The sides of a rectangle are positive whole numbers. If its area is $A$ and its perimeter is $P$, which of the following numbers cannot equal $A+P ?$The sides of a rectangle are positive whole numbers. If its area is $A$ and its perimeter is $P$, which of the following numbers cannot equal $A+P ?$ ...
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A circle of circumference 1 passes through the vertices $A$ and $B$ of a square $A B C D$, and is tangent to the side $C D$. What is the perimeter of the square?
A circle of circumference 1 passes through the vertices $A$ and $B$ of a square $A B C D$, and is tangent to the side $C D$. What is the perimeter of the square?A circle of circumference 1 passes through the vertices $A$ and $B$ of a square $A B C D$, and is tangent to the side $C D$. What is the perimeter of ...
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In the figure, $A B=3 \frac{2}{3}, A D=9 \frac{9}{11}$, $\angle A B C=\angle A C D=90^{\circ}$ and $A C$ bisects $\angle B A D .$ Find the length of $A C$.
In the figure, $A B=3 \frac{2}{3}, A D=9 \frac{9}{11}$, $\angle A B C=\angle A C D=90^{\circ}$ and $A C$ bisects $\angle B A D .$ Find the length of $A C$. In the figure, $A B=3 \frac{2}{3}, A D=9 \frac{9}{11}$, $\angle A B C=\angle A C D=90^{\circ}$ and $A C$ bisects $\angle B A D .$ Find the length o ...
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What is the expected weight of an $80 \mathrm{~cm}$ tall chimpanzee?
What is the expected weight of an $80 \mathrm{~cm}$ tall chimpanzee?In a study of a possible correlation between the height in $\operatorname{cm}(X)$ and weight in $\mathrm{kg}$ $(Y)$ of chimpanzees, a sample of 40 ani ...
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The lengths of two sides of a triangle are $b$ and $c$. Let $s$ be the length of the angle bisector of the angle between the two given sides. The length of the third side of the triangle is:The lengths of two sides of a triangle are $b$ and $c$. Let $s$ be the length of the angle bisector of the angle between the two given sides. The leng ...
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The measure of the angle $\angle C B D$ is:
The measure of the angle $\angle C B D$ is:In the triangle $\triangle A B C$ measures of angles $\angle A=46^{\circ}$ and $\angle C=60^{\circ}$ are given. The angle bisector intersects the circ ...
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In the right triangle the length of one leg is 5 in., and the measure of the angle opposite to that side is $30^{\circ}$. Determine which of the given statements is correct.
In the right triangle the length of one leg is 5 in., and the measure of the angle opposite to that side is $30^{\circ}$. Determine which of the given statements is correct.In the right triangle the length of one leg is 5 in., and the measure of the angle opposite to that side is $30^{\circ}$. Determine which of the given ...
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Triangle $\triangle A B C$, right angled at $C$, is given. Height and the median from point $C$ form an angle $\varphi$. The measure of larger acute angle of $\triangle A B C$ is:Triangle $\triangle A B C$, right angled at $C$, is given. Height and the median from point $C$ form an angle $\varphi$. The measure of larger acute a ...
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In the obtuse triangle $A B C, \angle B=23^{\circ},|A B|=20$ in., and $|B C|=30$ in.. The length of the height from the point $B$ is:
In the obtuse triangle $A B C, \angle B=23^{\circ},|A B|=20$ in., and $|B C|=30$ in.. The length of the height from the point $B$ is:In the obtuse triangle $A B C, \angle B=23^{\circ},|A B|=20$ in., and $|B C|=30$ in.. The length of the height from the point $B$ is: ...
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The Pythagorean Theorem for a right triangle is $a^{2}+b^{2}=c^{2}$, where $a$ and $b$ are the legs of the triangle and $c$ is its hypotenuse.
The Pythagorean Theorem for a right triangle is $a^{2}+b^{2}=c^{2}$, where $a$ and $b$ are the legs of the triangle and $c$ is its hypotenuse.The Pythagorean Theorem for a right triangle is $a^{2}+b^{2}=c^{2}$, where $a$ and $b$ are the legs of the triangle and $c$ is its hypotenuse. The sho ...
In the diagram, $\mathrm{PQR}$ is an isosceles triangle such that $\mathrm{PQ}=\mathrm{PR}=7 \mathrm{~cm}$ and $\mathrm{PRQ}=35^{\circ}$ Using as much of the information given below as is necessary, calculate In the diagram, $\mathrm{PQR}$ is an isosceles triangle such that $\mathrm{PQ}=\mathrm{PR}=7 \mathrm{~cm}$ and $\mathrm{PRQ}=35^{\circ}$ Using ...
The triangle LMN has vertices at $\mathrm{L}(3 ; 1) . \mathrm{M}(2 ; 2)$ and $\mathrm{N}(0 ; 1)$.
The triangle LMN has vertices at $\mathrm{L}(3 ; 1) . \mathrm{M}(2 ; 2)$ and $\mathrm{N}(0 ; 1)$.The triangle LMN has vertices at $\mathrm{L}(3 ; 1) . \mathrm{M}(2 ; 2)$ and $\mathrm{N}(0 ; 1)$. (a) Draw and label triangle LMN. (b) Triangle LMN is ...