Question

Can someone please help me on this question, I'm a little stuck? The question should be down below!

Answer 1

We have a right triangle with a missing side.

When we have two sides given sides on the right triangle and we need to find the missing side, we use the Pythagoras theorem:

The formula is given by:

`a^2=b^2+c^2`

Where:

a = Hypotenuse

b= Opposite side

c= Adjacent side

Now, we need to label the sides of the given triangle:

The largest side, represents the hypotenuse, in this case, a=15m.

The adjacent side is between the 90 degrees angle and the hypotenuse, in this case, c = 9m

Therefore, the missing side is the opposite side, let set b for this side:

Replacing these values:

`(15m)^2=b^2+(9m)^2`
`225=b^2+81`

Solve the equation for b:

`225-81=b^2`
`144=b^2`
`\sqrt[]{144}=\sqrt[]{b^2}`

Therefore, the missing side:

`12=b`