Question

A=16.7 B=17 C=23 D=7

Answer 1

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:  $a^{2} +b^{2}=c^{2}$, where a and b are the two lengths of the triangle, and c is the hypotenuse (which is x).

Steps:

-We know the two sides already, which are 15 and 8, so we can substitute a and b into the equation:  $15^{2} +8^{2}=c^{2}$  (the c is the same as x, just letting you know)

-Then, simplify the equation to get:  $225+64=x^{2}$ (I replaced c with x just so you can understand better that we are trying to find x, the hypotenuse)

-Add the 225 and 64 to get:  $289=x^{2}$

-Find the square root of both sides to get x by itself:  $\sqrt{289}=\sqrt{x^{2}$

-Evaluate the equation to get:  $\sqrt{289} =x$ which simplifies to $17=x$

Answer: 17

Hope you understand and that this helps with your question! :)