SOLUTION: How do I find the height of an right triangle, where not angle degrees are provided, only the following side dimensions?: The base=x, and the hyptouse 3x

Algebra ->  Triangles -> SOLUTION: How do I find the height of an right triangle, where not angle degrees are provided, only the following side dimensions?: The base=x, and the hyptouse 3x      Log On


   

Question 766762: How do I find the height of an
right triangle, where not angle degrees are provided, only the following side dimensions?: The base=x, and the hyptouse 3x
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
The Pythagorean theorem: a%5E2+%2B+b%5E2+=+c%5E2 where a and b are the legs, and c is the hypotenuse.


To find a leg given the other leg and the hypotenuse: a%5E2+=+c%5E2+-+b%5E2


In this right triangle call side a = x and c (hypotenuse) = 3x


%283x%29%5E2+-+x%5E2+=+b%5E2+=+9x%5E2+-+x%5E2+=+8x%5E2


So b+=+sqrt%288x%5E2%29+=+sqrt%282%2A4%29x+=+2%2Asqrt%282%29x