Question

Determine whether the triangle with the given side lengths is acute,

right, obtuse or not a triangle 14,16,27

Answer 1

this triangle is "obtuse

Explanation:

Since sides 14 and 16 add up to 30, which is more than the third side, 27, we DO have a triangle here. The sides of lengths 14 and 16 form an angle greater than 90 degrees, and so this triangle is "obtuse." It's not a right triangle either, because the Pythagorean Theorem is not satisfied: 14^2 + 16^2 = 452, which is NOT 27^2.