Kevin Drew a triangle with angle measures of 30° and 40°, and side measures of 5 cm 7 cm and 8 cm explain using sides and angles which type of triangle Kevin Drew

Answer 1

To determine the type of triangle Kevin Drew drew, we can analyze the side lengths and angle measures.

1. Angle measures: Kevin Drew drew a triangle with angle measures of 30° and 40°. Since the sum of the angles in any triangle is always 180°, we can find the measure of the third angle by subtracting the sum of the other two angles from 180°.

Third angle measure = 180° - (30° + 40°) = 110°

2. Side lengths: Kevin Drew drew a triangle with side lengths of 5 cm, 7 cm, and 8 cm.

Now, let's analyze the combination of side lengths and angles to determine the type of triangle:

- Side lengths: 5 cm, 7 cm, 8 cm.
- Angle measures: 30°, 40°, and 110°.

Based on the information above, Kevin Drew's triangle can be classified as a Scalene Triangle.

A scalene triangle has three unequal side lengths, and in this case, 5 cm, 7 cm, and 8 cm are all different lengths. Additionally, none of the angle measures are equal, reinforcing the classification of a scalene triangle.