Question

Which relationship between the legs and the hypotenuse of the right triangle is correct?
A) x + 8 = 10
B) 8 + 10 = x
C) x2 + 82 = 102
D) 82 + 102 = x2

Answer 1

Answer:

The answer is the option C

$x^{2}+8^{2}=10^{2}$

Step-by-step explanation:

we know that

In a right triangle the Pythagorean Theorem states that

$c^{2}=a^{2}+b^{2}$

where

c is the hypotenuse (the greater side)

a,b are the legs of the right triangle

in this problem we have

$a=x\ units$

$b=8\ units$

$c=10\ units$

substitute the values

$10^{2}=x^{2}+8^{2}$