Question

the lengths of the legs of a right triangle are 5 and 6. the length of the hypotenuse is c. which expression represents the value of c²?
a 5² + 6²
b 6² - 5²
c 5² - 6²
d (5²)·(6²)

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), the Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\).
Here \(a = 5\) and \(b = 6\).
Substitute \(a = 5\) and \(b = 6\) into the formula: \(c^{2}=5^{2}+6^{2}\).

Answer:

A. \(5^{2}+6^{2}\)