Question

A triangle brace has an angle measure of 30 degrees, with a side opposite this angle measuring 8 inches. The base of the triangular brace, adjacent to the given angle measure, is 11 inches in length. Which of the following statements is correct?

a) The triangle is a right triangle.
b) The triangle is an equilateral triangle.
c) The triangle is an isosceles triangle.
d) The triangle is an obtuse triangle.

Answer 1

The triangle in question is an obtuse triangle.

Step-by-step explanation:

The triangle in question is an obtuse triangle.

To determine the type of triangle, we need to examine the given angle measure. Since the angle measure is 30 degrees, which is less than 90 degrees, we know that the triangle is not a right triangle.

Additionally, the triangle is not equilateral because it has different side lengths. The fact that the side opposite the 30-degree angle measures 8 inches, while the adjacent side measures 11 inches, indicates that the triangle is also not isosceles. Therefore, the correct statement is that the triangle is an obtuse triangle.