Question

Kevin drew a triangle with angle measures of 30 degrees and 40 degrees and side measures of 5 cm, 7 cm, and 8 cm. Explain, using sides and angles, which type of triangle Kevin drew.

Answer 1

BUT....

2angles are given, so the third angle is 110
checking for the smallest angle using the cosine law:

5^2 = 7^2 + 8^2 - 2(7)(8)cos theta
112cos theta = 88
theta = 38.2 degrees, which contradicts the data given in the problem.

Answer 2

Kevin drew an acute triangle, since all three angles measure less than 90 degrees and all three side lengths are different.