Question

What is the length of the unknown side of the right triangle?

A right triangle with hypotenuse x and legs 5 and 12

13
17
25
60

Answer 1

So the right answer is 13.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer 2

13

Explanation:

Since this is a right triangle, we can use the Pythagorean Theorem

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

where a and b are the legs and c is the hypotenuse.

We know that the legs are 5 and 12. We also know the hypotenuse is x, or unknown.

Substitute 5 in for a, 12 for b, and x for c.

`5^2+12^2=x^2`

Evaluate the exponents.

5^2 is the same as 5*5, which is 25.

12^2 is the same as 12*12, which is 144.

`25+144=x^2`

Add 25 and 144

`169=x^2`

We are trying to find out what x is. In order to do this, we have to get x alone. Since x is being squared, take the square root of both sides. The exponent and square root will cancel, leaving x by itself.

`√(169) =√(x^2) \\\\√(169)=x\\13=x`

The hypotenuse is 13.