Question

two legs of triangle measures 10cm and 25.find to the length of the hypotenuse​

Answer 1

We are given two sides of the triangle.

⟹ Let the perpendicular side be 10 cm.

⟹ Let the base be 25 cm.

We need to find the third side of the triangle, which is nothing but Hypotenuse.

We are going to find the Hypotenuse of the given sum by Pythagoras Theorem. According to Pythagoras Theorem, it states that:

The square of Hypotenuse is equal to sum of the square of other two sides of the right angled triangle.

⟹ (Hypotenuse)² = (Perpendicular)²+(Base)²

By applying the values, we get:

⟹ (Hypotenuse)² = 10²+25²

⟹ (Hypotenuse)² = 100+625

⟹ (Hypotenuse)² = 725

⟹ Hypotenuse = √725

⟹ Hypotenuse = 27cm (approx.)

Hence, the Hypotenuse of the triangle is 27 cm.

Note: We are assuming the triangle as right-angled, to find the Hypotenuse of the triangle.