Question

A certain triangle has a 30° angle in a 60° angle. Which must be a true statement about the triangle

Answer 1

It is a right triangle.

Explanation:

A right triangle is a triangle with at least one angle with 90 degrees.

We know that every triangle has 180 degrees. The other unknown angle is 180 - (30+60) = 180 - 90 = 90. That means that the other angle is 90 degrees. Therefore, it is a right triangle

We also know that in this triangle, that the square of one side plus the square of another is side is equal to the square of the hypotenuse of the triangle. (According to Pythagorean theorem)

Answer 2

The second-longest side is the square root of 3 times as long as the shortest side.