# How does the length of the hypotenuse in a right triangle compare to the lengths of the legs?

A right-angled triangle has one angle equal to 90º and the other two angles are acute angles.

## Answer: The squared hypotenuse is equal to the sum of squares of adjacent and opposite legs.

Let's see in detail.

**Explanation:**

Let ABC be any right-angled triangle

.

AB is the adjacent side,

BC is the opposite side and

AC is the longest side (hypotenuse).

According to the Pytagoras theorem,

(Hypotenuse)^{2 }= (adjacent)^{2 }+ (opposite)^{2}

⇒ (AC)^{2} = (AB)^{2 }+ (BC)^{2}