Question

What will be the length of third side of a right angled triangle whose hypotenuse is 5 cm and one of the side is 3 cm? What will be the length of third side of a right angled triangle whose hypotenuse is 5 cm and one of the side is 3 cm?

Answer 1

4 cm

Explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the length of the 3 rd side, then

x² + 3² = 5²

x² + 9 = 25 ( subtract 9 from both sides )

x² = 16 ( take the square root of both sides )

x =
`√(16)` = 4

The third side is 4 cm

Answer 2

4

Explanation:

You would use a^2+b^2=c^2

a^2+3^2=5^2

a^2+9=25 subtract nine from both sides

a^2=16

find the square root of 16 which is 4

so the other side of the triangle is 4