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 leg

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(1) Answers

TrinidadDirollo553

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 [latex]b= \sqrt{c^{2}-a^{2} }[/latex]
Now, you can solve.
[latex]b= \sqrt{c^{2}-a^{2} } b= \sqrt{40^{2}-24^2 } b = \sqrt{1600 - 576} b = \sqrt{1024} b = 32[/latex]
Therefore, B = 32.
So the second leg is 32 feet.