Question

value: 3
solve for the short leg of the 30 - 60 - 90 triangle.
4
60°
b
a. b = 2
b. b = 4
c. b = 4√3
d. b = 2√3

Explanation:

Step1: Recall 30 - 60 - 90 triangle ratio

In a 30 - 60 - 90 triangle, if the hypotenuse is $c$ and the short - leg is $a$, the relationship is $a=\frac{1}{2}c$ when the hypotenuse is given. Here, the hypotenuse $c = 4$.

Step2: Calculate the short - leg

Using the formula $a=\frac{1}{2}c$, substitute $c = 4$ into it. So $b=\frac{1}{2}\times4$.
$b = 2$

Answer:

A. b = 2