the area of a right triangle is 12 in ^2. the ratio of the lengths of its legs is 2/3. find the hypotenuse.

1 answer

1. Let the shortest leg length be a.
   
   Area = (a)*(3a/2)*(1/2) = (3/4)a^2 = 12
   a^2 = 16
   a = 4 and the other leg (which we'll call b) must be 6.
   
   Use the Pythagorean theorem for the hypotenuse, c.
   c^2 = a^2 + b^2
   
   c = sqrt(52) = 7.2111 inch

   Answer ID
   523848

   Created
   April 1, 2011 11:17am UTC

   Rating
   0

   URL
   https://questions.llc/answers/523848