SOLUTION: The unequal side of an isosceles triangle is 6 cm & its perimeter is 24 cm.find it area

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The unequal side of an isosceles triangle is 6 cm & its perimeter is 24 cm.find it area      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1040042: The unequal side of an isosceles triangle is 6 cm & its perimeter is 24 cm.find it area
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The unequal side of an isosceles triangle is 6 cm & its perimeter is 24 cm.find it area
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

The equal sides length is %2824-6%29%2F2 = 18%2F2 = 9 cm.

Then the altitude drawn to the base (which is "unequal side") is

sqrt%289%5E2+-+%286%2F2%29%5E2%29 = sqrt%2881-9%29 = sqrt%2872%29 = 6%2Asqrt%282%29 cm.

Finally, the area is %281%2F2%29%2A6%2A6%2Asqrt%282%29%29 = 18%2Asqrt%282%29 cm%5E2.