SOLUTION: A right triangle has hypotenuse of length 10 feet and one leg in known to be 6 feet. What is the length of the other leg? What is the triangle's area? CAN YOU EXPLAIN IT TO ME S

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Question 339098: A right triangle has hypotenuse of length 10 feet and one
leg in known to be 6 feet. What is the length of the other leg? What
is the triangle's area?
CAN YOU EXPLAIN IT TO ME STEP BY STEP
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
In any right triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs. This is known as the Pythagorean theorem and can be expressed in algebraic terms as:
c%5E2+=+a%5E2%2Bb%5E2 where c is the length of the hypotenuse and a and b are the lengths of the two legs, so, you are given the length of c (c = 10ft) and one of the legs (a = 6ft), so you can substitute the values for c and a into the formula:
c%5E2+=+a%5E2%2Bb%5E2 Substitute c = 10 and a = 6.
10%5E2+=+6%5E2%2Bb%5E2 Evaluate.
100+=+36%2Bb%5E2 Subtract 36 from both sides.
64+=+b%5E2 Now take the square root of both sides.
sqrt%2864%29+=+sqrt%28b%5E2%29 so that...
8+=+b or b+=+8
The length of the other leg is 8 feet.