+5265 So, the sides of the triangle are 8, 9, and 15. Is the triangle acute, obtuse, or right?
+129847 It's definitely not a right triangle......we can use the Law of Cosines to find the largest angle
15^2 = 9^2 + 8^2 - 2(9)(8)cos (theta)
[15^2 - 9^2 - 8^2] / [ -2(9)(8) ] = cos(theta)
cos-1 ( [15^2 - 9^2 - 8^2] / [ -2(9)(8) ] ) = theta = 123.7°
So....this triangle is obtuse
+129847 It's definitely not a right triangle......we can use the Law of Cosines to find the largest angle
15^2 = 9^2 + 8^2 - 2(9)(8)cos (theta)
[15^2 - 9^2 - 8^2] / [ -2(9)(8) ] = cos(theta)
cos-1 ( [15^2 - 9^2 - 8^2] / [ -2(9)(8) ] ) = theta = 123.7°
So....this triangle is obtuse
