Question

Given the lengths of the sides, state if the triangle is acute, obtuse, or right. 24, 37, and 40 This is a(n) blank triangle.

Answer 1

This is an acute triangle

Explanation:

Pythagoras theorem is used to determine if a triangle is right, acute or obtuse

If the sum of squares of two shorter lengths is greater than the square of third side then the triangle is an acute triangle.

If the sum of squares of two shorter lengths is less than the square of third side then the triangle is an obtuse triangle.

If the sum of squares of two shorter lengths is equal the square of third side then the triangle is a right triangle.

so,

`(40)^2 = (37)^2 + (24)^2\\1600 = 1369+576\\1600<1945`

As 1600<1945, the given triangle is an acute triangle ..