Question

which statement describes this triangle? it is an acute triangle because all of the angles are less than 90°. it is a right triangle because two of the sides are perpendicular. it is an isosceles triangle because two of the sides are the same length. it is a scalene triangle because one of the angles is greater than 90°. 3.8 in. 5.6 in. 42.5° 42.5° 3.8 in.

Explanation:

Step1: Recall triangle - type definitions

Acute triangle: all angles < 90°. Right - triangle: one angle = 90°. Isosceles triangle: two sides equal. Scalene triangle: all sides different.

Step2: Analyze given triangle

The given triangle has two angles of 42.5° and side lengths 3.8 in, 3.8 in, and 5.6 in. Since two sides have the same length (3.8 in), it is an isosceles triangle. Also, all angles are less than 90° (180°-(42.5° + 42.5°)=95° is not relevant as the given angles are 42.5° each and the third angle is also less than 90°), but the key characteristic here is the equal - side lengths.

Answer:

It is an isosceles triangle because two of the sides are the same length.