Question

question 8 of 10
a certain triangle has a 30° angle and a 60° angle. which must be a true statement about the triangle?
a. the second - longest side is twice as long as the shortest side.
b. two sides of the triangle have the same length.
c. the longest side is twice as long as the shortest side.
d. the longest side is √3 times as long as the shortest side.

Explanation:

Step1: Find third - angle

$180^{\circ}-30^{\circ}-60^{\circ}=90^{\circ}$, it's a right - triangle.

Step2: Recall side - angle relationship

In a 30 - 60 - 90 triangle, if the shortest side (opposite 30°) is $a$, the hypotenuse (longest side) is $2a$.

Answer:

C. The longest side is twice as long as the shortest side.