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

**Solution:**

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 Pythagoras theorem,

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

⇒ (AC)^{2} = (AB)^{2 }+ (BC)^{2}

Thus, the squared hypotenuse is equal to the sum of squares of adjacent and opposite legs.

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

**Summary:**

The length of the hypotenuse in a right triangle compared to the lengths of the legs is represented by Pythagoras theorem.

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