5. Given the following triangle side lengths, identify the triangle as acute, right or obtuse. Show your work. a. 3in, 4in, 5 in b. 5in, 6in, 7in c. 8in, 9in, 12in

A. 3in, 4in, 5 in

5^2? 3^2 + 4^

25? 9 + 16

25 = 25

Because the two sides are equal, this is a right triangle.

b. 5in, 6in, 7in

7^2? 5^2 + 6^2

49? 25 + 36

49 < 61

Because 49 < 61, this is an acute triangle.

c. 8in, 9in, 12in

12^2? 8^2 + 9^2

144? 64 + 81

144 < 145

Because 144< 145, this is an acute triangle.

The answer to the question is D