Question

How much longer is the hypotenuse of the triangle than its shorter leg?

a.2 ft
b.4 ft
c.8 ft
d.10 ft

Answer 1

Answer: B

Explanation:

6^2+8^2=c^2

36+64=c^2

100=c^2 (square root both sides)

c=10

Then we find the difference between 10 and 6 because 6 is the shortest leg

10-6=4 ft.

Answer 2

We can use the Pythagorean Theorem to solve for side AB
a^2+b^2=c^2
a will be 6 and b will be 8 becuase those are the legs

6^2+8^2=c^2
36+64=c^2
100=c^2 (square root both sides)
c=10

Then we find the difference between 10 and 6 because 6 is the shortest leg
10-6=4 ft. so B

Hope this helps