Question

If a triangle has side lengths of 22,32,and 55 units what type of triangle is it

acute,obtuse,right,no solution

Answer 1

A triangle with side lengths of 22, 32, and 55 units is an obtuse triangle.

Step-by-step explanation:

A triangle with side lengths of 22, 32, and 55 units is an obtuse triangle.

To determine the type of triangle, we can use the Pythagorean theorem. If the sum of the squares of the lengths of the two shorter sides is greater than the square of the length of the longest side, then the triangle is obtuse. In this case, 22^2 + 32^2 = 484 + 1024 = 1508, which is greater than 55^2 = 3025, so the triangle is obtuse.

An obtuse triangle is a triangle with one angle greater than 90 degrees. In this case, the angle opposite the longest side will be greater than 90 degrees.

Answer 2

Answer: No solution

A 'triangle' with side lengths of 22, 32, and 55 is no solution because it cannot form a triangle. In order for it to be a triangle, the sum of the two shorter side lengths must be greater than the longest side length.

22 + 32 < 55
54 < 55