Question

What is the answer to this question

Answer 1

Answer:

r=10

Step-by-step explanation:

We can use the Pythagorean theorm to solve

a^2 +b^2 = c^2

24^2 + r^2 =(16+r)^2

FOIL the last term

(16+r) (16+r) = 256+16r+16r+r^2

576 +r^2 = 256+16r+16r+r^2

Combine like terms

576 +r^2 = 256+32r+r^2

Subtract r^2 from each side

576 +r^2 -r^2 = 256+32r+r^2-r^2

576 = 256+32r

Subtract 256 from each side

576-256 = 256-256+32 r

320 = 32r

Divide by 32

320/32 = 32r/32

10 =r