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sergiy2304 [10]
3 years ago
13

The length of one leg of a right triangle is 24 feet and the length of the hypotenuse is 40 ft what is the length of the other l

eg
Mathematics
1 answer:
Rama09 [41]3 years ago
7 0
To solve for the other leg, you need to use Pythagorean theory.

The theory states that C^2 = A^2 + B^2

In your case, you have to solve for B.
C = 40 (hypotenuse)   A = 24 (leg 1)

The formula rewritten for B is b= \sqrt{c^{2}-a^{2} }

Now, you can solve.

b= \sqrt{c^{2}-a^{2} }

b= \sqrt{40^{2}-24^2 }

b = \sqrt{1600 - 576}

b = \sqrt{1024}

b = 32

Therefore, B = 32.

So the second leg is 32 feet.
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