Question

The length of the hypotenuse of a right triangle is 157 units. The length of one leg of the triangle is 132. Lara wrote the following step to find the length of the unknown leg: Length of the unknown leg = 1572 − 1322 = 24,649 − 17,424 = 7,225 units Which statement best explains whether Lara's step is correct or incorrect?

Answer 1

Lauras step is correct, she rearranged the formula making it :

b^2 = c^2 - a^2

Explanation:

Answer 2

a^2 + b^2 = c^2
132^2 + b^2 = 157^2
17424 + b^2 = 24,649
b^2 = 24,649 - 17424
b^2 = 7225
b = square root 7225
b = 85 <== the missing leg is 85 units

Lauras step is correct...she rearranged the formula making it :
b^2 = c^2 - a^2.....and subbed in numbers correctly. She just didn't finish