# Recent questions tagged pythagorean

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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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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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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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What are some of the pythagorean identities?
What are some of the pythagorean identities?What are some of the pythagorean identities? ...
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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 ...
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Does the Pythagorean theorem generalize to arbitrary inner product spaces?
Does the Pythagorean theorem generalize to arbitrary inner product spaces?Does the Pythagorean theorem generalize to arbitrary inner product spaces? ...
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Prove the following identities and state where the identity is undefined:
Prove the following identities and state where the identity is undefined:Prove the following identities and state where the identity is undefined: a. $\dfrac{\cos 2 x+1}{\sin 2 x \cdot \tan x}=\dfrac{1}{\tan ^{2} x}$ b. \$\d ...
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What is the difference between trigonometric identities and Pythagorean identities?
What is the difference between trigonometric identities and Pythagorean identities?What is the difference between trigonometric identities and Pythagorean identities? ...
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What is your favorite Pythagorean triple, and why?