Question

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

Explanation:

Step1: Analyze angle measures

The given angles are $42.5^{\circ}$ and $42.5^{\circ}$. The third - angle is $180-(42.5 + 42.5)=95^{\circ}>90^{\circ}$, so it's not an acute triangle.

Step2: Check side - length equality

The side - lengths are $3.8$ in, $3.8$ in, and $5.6$ in. Since two sides have the same length ($3.8$ in), it is an isosceles triangle. Also, it is not a right triangle as there is no $90^{\circ}$ angle and no indication of perpendicular sides. And it is not a scalene triangle as two sides are equal.

Answer:

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