SOLUTION: This has to do with area of a triangle and the triangle pythagorean theorem. The front and back walls of an A-frame cabin are isosceles triangles, each with a base measuring 10m an

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Question 586404: This has to do with area of a triangle and the triangle pythagorean theorem. The front and back walls of an A-frame cabin are isosceles triangles, each with a base measuring 10m and legs measuring 13m. The entire front wall is made of glass 1cm thick that costs $120/m squared. What did the glass for the front wall cost?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Making a bertical line down the middle would split that front wall into two congruent (symmetrical, flipped) right triangles with a horizontal leg of length 5 m, and a hypotenuse of leg 13 m.
The height of the front wall is the length of the other leg. Let's call that height in meters, h.
h%5E2%2B5%5E2=13%5E2 --> h%5E2%2B25=169 --> h%5E2=169-25 --> h%5E2=144 --> h=12
So the surface area of the front wall, in square meters, is A=10%2A12%2F2=60
At $120 per square meter, it will cost $120%2A60=$highlight%287200%29