SOLUTION: If there was an right-angle triangle, and I wanted to find out the lengths of the 2 unknown sides, by using the pthagoreom theorem, it would be A(squared)+B(squared)=6(squared). Is

Algebra ->  Triangles -> SOLUTION: If there was an right-angle triangle, and I wanted to find out the lengths of the 2 unknown sides, by using the pthagoreom theorem, it would be A(squared)+B(squared)=6(squared). Is      Log On


   



Question 12439: If there was an right-angle triangle, and I wanted to find out the lengths of the 2 unknown sides, by using the pthagoreom theorem, it would be A(squared)+B(squared)=6(squared). Is it possible, if so how, to find the lengths of A and B of they were the same lengths?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The Pythagorean theorem states that, for any right-triangle:
c%5E2+=+a%5E2+%2B+b%5E2 where: c is the length of the hypotenuse and a & b are the lengths of the two legs.
If c%5E2+=+6%5E2 and side a = side b, then:
6%5E2+=+a%5E2+%2B+a%5E2 Add the a^2 terms.
36+=+2a%5E2 Divide both sides by 2.
18+=+a%5E2 Take the square root of both sides.
sqrt%2818%29+=+a
So each side of the right-triangle is sqrt%2818%29+=+3sqrt%282%29 and the hypotenuse is 6.