If the lengths of the legs of a right triangle are 5 and 12, what is the length of the hypotenuse?
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Answer:
D.) 8
Step-by-step explanation:
You can use the Pythagorean theorem because this is a right triangle:
a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.
Fill in values:
Simplify exponents:
Isolate the variable. Subtract 225 from both sides:
Find the square root of both sides:
The missing leg length is 8.