Question

Find the missing leg length for a right triangle with hypotenuse 40 ft and leg 21 ft

Answer 1

34feet

Explanation:

Using the pythagoras theorem

Hyp^2 = opp^2 + adj^2

Given

Hypotenuse = 40ft

Opp = 21ft

Required

Adjacent

Substitute

40^2 = 21*2 + adj^2

1600 = 441 + adj^2

adj^2 = 1600 - 441

adj^2 = 1159

adj = √1159

adj = 34.ft

Hence the missing length is 34feet