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

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

## This Post Has 9 Comments

1. kony345p says:

Step-by-step explanation:

Use the equation: a² + b² = c² , in which c is the hypotenuse, and a & b are the other sides.

Note that the hypotenuse is 15, and the shorter leg is 9 cm. Plug in the corresponding numbers into the corresponding variables

a² + (9)² = (15)²

Simplify. First, solve for the solvable squares

a² + 81 = 225

Isolate the variable a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 81 from both sides:

a² + 81 (-81) = 225 (-81)

a² = 225 - 81

a² = 144

Isolate the variable a. Root both sides.

√(a²) = √(144)

a = √144 = √(12 * 12) = 12

a = 12

~

2. smartperraorwhateva says:

Step-by-step explanation:

3. TheSillyMichael1566 says:

We need to use the pythgorean therum (or however it is spelled)

a^2 + b^2 = c^2where a and b are the legs and c is the hypotenuse

9^2 + b^2 = 15^2
81 + b^2 = 225
b^2 = 225 - 81
b^2 = 144take square root of both sides, eliminating the ^2
b = sqrt 144
b = 12

so ur other leg is 12 cm

4. vlactawhalm29 says:

I believe the answer is 135 degrees

5. ericlawton says:

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

6. 21shalissa420 says:

12 cm
Using the pythagorean theorem, it is possible to find the length of the remaining leg.
a^2 + b^2 = c^2
In this case c=15 and a=9.

I believe that the answer is B 12 centimeters because it doesnt ask for the square root.

Step-by-step explanation:

8. niya11057 says:

A^2+b^2=c^2

So this means 9^2 + b^2= 15^2  --->  81 + b^2 = 225

so just subtract them and you get your missing leg. 225 - 81 = 144. But not so fast. That is not the exact value of the missing leg, ITS TOO BIG. So now all you have to do is square root it. square root of 144should equal 12 because 12 times 12 equals 144.
So there you go you found the missing leg. GOOD JOB. This missing leg is 12. BAM!!! Easy math baby! your welcome!

9. minmacurafinaa says:

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