SOLUTION: In the right triangle ABC, angle C=90, c=3, and {{{ (a+b)^2=17 }}}. Compute the area of the triangle.

Algebra ->  Trigonometry-basics -> SOLUTION: In the right triangle ABC, angle C=90, c=3, and {{{ (a+b)^2=17 }}}. Compute the area of the triangle.      Log On


   

Question 1112845: In the right triangle ABC, angle C=90, c=3, and +%28a%2Bb%29%5E2=17+. Compute the area of the triangle.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
right triangle ABC, angle C=90, c=3, and +%28a%2Bb%29%5E2=17+.
+%28a%2Bb%29%5E2=17+
a%5E2%2Bb%5E2+=+%28a%2Bb%29%5E2-2ab
a%5E2%2Bb%5E2=c%5E2 by Pythagoras theorem
9=+17-2ab
2ab=8
ab=4
1/2 ab =area of triangle
=2 unit^2