Find the exact length of the third side.
10
5

8.7 (nearest tenth)

Step-by-step explanation:

Applying pythagorean theorem, a² + b² = c²,

Where,

a = 5

b = the third side

c = hypotenuse = 10

Plug in the values

5² + b² = 10²

25 + b² = 100

Subtract 25 from each side

b² = 100 - 25

b² = 75

Take the square root of both sides

b = √75

b = 8.7 (nearest tenth)

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.