Question

In a right triangle the length of a hypotenuse is 6 and the length of one leg is 5. Find the length of the other leg,

Answer 1

sqrt 11

Explanation:

Pythagorean theorem again. a^2+b^2=c^2. The hypotenuse is the c value. One of the legs is either a or b, doesn't matter which. So you can make the equation 5^2+b^2=6^2. 25+b^2=36. Subtract 25 from each side to isolate the b variable. You're left with b^2=11. Now you take the square root of each side to get b. This makes b= sqrt 11.