Question

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

Answer 1

Answer:

13

Step-by-step 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.

$\sqrt{169} =\sqrt{x^2} \\\\\sqrt{169}=x\\13=x$

The hypotenuse is 13.

Answer 2

So the right answer is 13.

Look at the attached picture

Hope it will help you

Good luck on your assignment