Answer:
17
Step-by-step explanation:
In this problem, you can use the Pythagorean Theorem to find the hypotenuse, which is x. The formula for the Pythagorean Theorem is:
, where <em>a </em>and <em>b </em>are the two lengths of the triangle, and <em>c</em> is the hypotenuse (which is x).
<u>Steps:</u>
-We know the two sides already, which are 15 and 8, so we can substitute <em>a </em>and <em>b </em>into the equation:
(the <em>c</em> is the same as x, just letting you know)
-Then, simplify the equation to get:
(I replaced <em>c</em> with x just so you can understand better that we are trying to find x, the hypotenuse)
-Add the 225 and 64 to get: ![289=x^{2}](https://tex.z-dn.net/?f=289%3Dx%5E%7B2%7D)
-Find the square root of both sides to get x by itself: ![\sqrt{289}=\sqrt{x^{2}](https://tex.z-dn.net/?f=%5Csqrt%7B289%7D%3D%5Csqrt%7Bx%5E%7B2%7D)
-Evaluate the equation to get:
which simplifies to ![17=x](https://tex.z-dn.net/?f=17%3Dx)
<u>Answer: 17</u>
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Hope you understand and that this helps with your question! :)