Question

A 30−60−90 triangle has a longer leg with length 53√4 and a hypotenuse with length 5/2 . What is the length of the shorter leg?

Answer 1

The length of the shorter leg is √2

Pythagoras theroem

To get the length of the shorter leg, we will use the Pythagoras theorem. According to the theorem:

hyp^2 = opp^2 + adj^2

Given the following

Hyp = √4

Opposite = √2

Required

Adjacent side

Substitute into the formula

(√4 )^2 = 2 + adj^2

4 - 2  = adj^2

adj^2 = 2

adj = √2

Hence the length of the shorter leg is √2

Learn more on Pythagoras theorem here: brainly.com/question/343682