Following are the measurements of a triangle. The lengths are given in inches (in.).

Question

Side Lengths Angle Measures
6.6
in. 45∘

9.4
in. 90∘

6.6
in. 45∘


Based on the measurements, which answer best describes the triangle?
Responses

acute isosceles triangle
acute isosceles triangle

right equilateral triangle
right equilateral triangle

right isosceles triangle
right isosceles triangle

obtuse isosceles triangle
obtuse isosceles triangle

acute scalene triangle
acute scalene triangle

obtuse scalene triangle
obtuse scalene triangle

right scalene triangle
right scalene triangle

Answer 1

To analyze the triangle based on the given side lengths and angle measures, we note the following:

1. Sides: The triangle has sides of lengths 6.6 inches, 6.6 inches, and 9.4 inches.

   • Since two sides (6.6 inches) are equal, the triangle is isosceles.

2. Angles: The triangle has angles measuring 45°, 90°, and 45°.

   • One of the angles is 90°, so the triangle is a right triangle.

Thus, combining the characteristics determined from the sides and angles, the best description of the triangle is:

right isosceles triangle.