In a triangle, if the square of the longest side is equal to the sum of the squares of the other two sides, then what is

Question

In a triangle, if the square of the longest side is equal to the sum of the squares of the other two sides, then what is the type of the triangle?

Accepted Answer

In a triangle, if the square of the longest side is equal to the sum of the squares of the other two sides, then it is a Right-Angled Triangle. This is known as the Pythagoras' Theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be expressed as: $a^2 + b^2 = c^2$, where $a$ and $b$ are the lengths of the two shorter sides, and $c$ is the length of the hypotenuse.

Triangles

❓ Sibling Questions in this Chapter