Question

Find the length of the unknown side. Round your answer to the nearest tenth. Image of a right triangle with a leg of 4, hypotenuse of 18, and second leg unknown.

Answer 1

So the length will be 18^2-4^2 all rooted. 18 square is 324 and 4 square is 16 and 324-16 is 308 so the answer will be the root of 308 or 2 root 77, at least that is what I think.

Answer 2

The length is 17.6 units.

Explanation:

Given a right triangle with a leg of 4 units and of hypotenuse 18 units.

we have to find the length of other leg.

Using Pythagoras theorem;

`Hypotenuse^2=Base^2+Height^2`

The hypotenuse of a right triangle is 18 units, and one of the leg is 4 units.

Let x be the other leg which we have to find out.

Substitute these in above formula we have;

⇒
`18^2=4^2+x^2`

⇒
`x^2=324-16=308`

⇒
`x=√(308)=17.5499\sim 17.6 units`

Therefore, the other leg of the right triangle is 17.6 units.