Question

find the lengh of a hypotenuse of a right triangle with legs of 9cm and 12 cm please

Answer 1

15 cm

Explanation:

We are given the lengths of legs (perpendicular and the base) of a right angles triangle to be 9 cm and 12 cm.

So with help of the given lengths, we can find the length of the hypotenuse using the Pythagoras Theorem.

`a^2=b^2+c^2` where
`a` is the hypotenuse.

Substituting the given values in this formula to get:

`a^2 = 9^2+12^2`

`a^2 = 81+144`

`a^2 =225`

`\sqrt{ a^(2) }= √(225)`

`a=15`

Therefore, the length of the hypotenuse is 15 cm.

Answer 2

The length of the hypotenuse is 15 cm

EXPLANATION

Use Pythagoras Theorem.

The theorem says that, the square of the length of the of the hypotenuse of a right angle triangle is equal to the sum of the squares of the two shorter legs.

See diagram

`h^2=9^2+12^2`

`h^2=81+144`

`h^2=225`

Taking square root of both sides gives;

`h=√(225)`

`h=15cm`

Therefore the length of the hypotenuse is 15 cm