Question

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

Answer 1

ANSWER

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;

$h=\sqrt{225}$

$h=15cm$

Therefore the length of the hypotenuse is 15 cm

Answer 2

Answer:

15 cm

Step-by-step 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:

$a^2 = 9^2+12^2$

$a^2 = 81+144$

$a^2 =225$

$\sqrt{ a^{2} }= \sqrt{225}$

$a=15$

Therefore, the length of the hypotenuse is 15 cm.