Question

the hypotenuse of right angled triangle is 25 cm . if one of the remaining two sides is 15 cm , find the length of its third side,​

Answer 1

Answer:

10√5 is the correct answer

Answer 2

Answer:

The measure of the third side of the triangle is 20cm.

Given:

Given that, there was a right angled triangle whose:

↦Hypotenuse is 25cm

↦One side of the triangle is 15cm

To find:

↦We need to find the third side of the triangle.

Solution:

As the given triangle is right-angled triangle, let's apply Pythagoras Theorem to find the third side of the triangle.

Pythagoras Theorem: This theorem states that the square of hypotenuse of a right angled triangle is equal to the sum of the squares of the other two sides of the triangle.

According to Pythagoras theorem:

➛(Hypotenuse)² = (Second Side)²+(Third side)²

➛(25)² = (15)²+(Third side)²

➛625 = 225+(Third side)²

➛625-225 = (Third side)²

➛400 = (Third Side)²

➛√400 = Third side

➛ 20cm = Third side

Hence, the measure of the third side of the triangle is 20cm.