Question

Show that a triangle with sides 3,4,5 inches long is a right triangle. Find the measure of the larger acute angle

Answer 1

To check whether a triangle is a right-triangle, add the square of the two shorter sides. If the sum equals the square of the longest side, then it is a right-triangle.

Example: Triangle ABC has sides 5,12,13.
5²+12²=169 = 13²
therefore the ABC is a right triangle.