Determine the form of a triangle, if its side is given: a = 7 b = 5 c = 20.

Solution:

It is impossible to determine the shape of the triangle.

A triangle with sides a = 7, b = 5, c = 20 does not exist. In order for the triangle to exist, the following rule must be fulfilled: the sum of any two sides of the triangle must be greater than the value of the third side. a + b> c, b + c> a, a + c> b

Let’s prove that there is no triangle:

a + b> c – no, it is not true, 7 + 5 <20, which means that the triangle rule is not met, such a triangle does not exist.