SOLUTION: The figure above shows an isosceles triangle with a height, h, of 4 inches and a perimeter of 16 inches. If the area of the triangle is 12 square inches, and a = c, what is the val

Algebra ->  Length-and-distance -> SOLUTION: The figure above shows an isosceles triangle with a height, h, of 4 inches and a perimeter of 16 inches. If the area of the triangle is 12 square inches, and a = c, what is the val      Log On


   

Question 955553: The figure above shows an isosceles triangle with a height, h, of 4 inches and a perimeter of 16 inches. If the area of the triangle is 12 square inches, and a = c, what is the value of c?
IMAGE:http://jasper.kaptest.com/content/media/04/124604.7.07d2ade2-f6e2-465c-a7c5-ed2c50cab3c7.png
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
a%2Bc%2Bb=16; a=c;
2a%2Bb=16

%28b%2F2%29%5E2%2Bh%5E2=a%5E2
Given h=4;
%28b%2F2%29%5E2%2B16=a%5E2.

You may be able to ---- solve the system highlight_green%282a%2Bb=16%2C%28b%2F2%29%5E2%2B16=a%5E2%29, and not need to use the given area. The system is two equations in two unknowns.

The area equation may be
highlight_green%28%281%2F2%29%2Ab%2A4=12%29, and this may make finding c easier to do. Maybe not.
.....this area means, b=6 and you already know a%2Bb%2Bc=16,
b%2Ba%2Bc=16
b%2B2c=16
6%2B2c=16
2c=10
highlight%28c=5%29