The sides of the triangle are related as 12:16:20. What is a triangle?

According to the aspect ratios, there are two main types of triangles: equilateral and isosceles. In an isosceles, two sides are related as 1: 1, in an equilateral – all three are 1: 1: 1. Obviously, this triangle does not belong to any of these types.

A right-angled triangle is highlighted by the ratios of the angles.
Let us check whether the Pythagorean theorem holds for a triangle with an aspect ratio of 12:16:20:

The hypotenuse is greater than any of the legs, which means it is 20.
20² = 400
16² + 12² = 256 + 144 = 400
the Pythagorean theorem is fulfilled, so the triangle is rectangular.

Answer: A triangle is rectangular.



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