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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

How much longer is the hypotenuse of the triangle than its shorter leg? a.2 ft b.4 ft-example-1
User Pyrocrasty
by
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2 Answers

2 votes

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.

User Nate Green
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7.7k points
3 votes
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
User David Johnstone
by
8.2k points

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