Given a triangle with side lengths of a, b, and c, where c is the longest side, which statement is true?

If a^2 + b^2 =c^2, then the triangle is a right triangle.

Step-by-step explanation:

Given

Shape: Triangle

Sides: a, b, c

Longest: c

Required

Select the true statements (See comment section for options)

From the options, we can see that we need to prove if the triangle is right-angled or not.

Since side c is the longest side, it means that side c is the hypotenuse.

Applying Pythagoras theorem

We have that:

If the above mathematical statement is true, then the triangle is right-angled

the perimeter is increased by a factor of 2

i believe the answer is the polygon, heptagon.