Question

The hypotenuse of a right triangle is 15 cm, and the shorter leg is 9 cm. Find the length of the other leg.

Answer 1

Answer:

the other leg of the right triangle is, 12 cm

Step-by-step explanation:

Using Pythagoras theorem;

$\text{Hypotenuse side}^2 = \text{Shorter side}^2 +\text{Longer side}^2$

As per the statement:

The hypotenuse of a right triangle is 15 cm, and the shorter leg is 9 cm

⇒Hypotenuse side = 15 cm and shorter leg = 9 cm

Let x be the other or longer side

Substitute these in above formula we have;

$15^2 = 9^2+ x^2$

⇒$225 = 81 +x^2$

Subtract 81 from both sides we have;

$144 = x^2$

⇒$x = \sqrt{144} = 12$ cm

therefore, the other leg of the right triangle is, 12 cm

Answer 2

12 cm, use the pythagorean theorem: a^2+b^2=c^2
9^2+b^2=15^2
81+b^2=225
b^2=144
b=12
12 cm