Question

what is the sum of the squares of the legs of a right triangle with sides $a = 5$ and $b = 12$?
a. 169
b. 144
c. 17
d. 13
what happens if $a^{2}+b^{2}a. the triangle is acute
b. the triangle is equilateral
c. the triangle is isosceles
d. the triangle is obtuse

Explanation:

Step1: Calculate the square of side a

$a^{2}=5^{2}=25$

Step2: Calculate the square of side b

$b^{2}=12^{2}=144$

Step3: Find the sum of the squares

$a^{2}+b^{2}=25 + 144=169$

For the second - question:
By the Pythagorean - related theorem, if $a^{2}+b^{2}

Answer:

1. A. 169
2. d. The triangle is obtuse