<em>Triangle ABC is a right triangle. The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest tenth if necessary)</em>
When the two legs are given, the hypotenuse is found by using the Pythagorean Theorem, which states that:
In the theorem, a and b are the two legs, and c is the hypotenuse. Since you are given the length of the two legs, substitute it into the equation.
Now, you need to square both 3 and 6. When you square a number, you're basically multiplying the number by itself.
Substitute the numbers into the equation.
Add:
You're looking for the value of c, not c squared. To remove the square, you need to square root it.
Using a calculator, find the square root of 45.
The answer to your question is B) 6.7 inches.