State if each triangle is acute obtuse or right SolutionSolu

State if each triangle is acute, obtuse, or right.

Solution

Solution:

To determine if a triangle is acute, right or obtuse, we can use the Pythagorean theorem. if we have a right triangle, the hypotenuse has a length of c, and the legs of lengths a and b. The Pythagorean theorem says that

a²+b² = c²

a²+b² = 21² + 33² = 1530

c²= 1225

from 1530 > 1225

a²+b² > c²

In this case the triangle is acute

Answer