document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #373738 by KMST(5328) $\"\"$ $\"About$

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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.
\n" ); document.write( "The height of the front wall is the length of the other leg. Let's call that height in meters, h.
\n" ); document.write( " $\"h%5E2%2B5%5E2=13%5E2\"$ --> $\"h%5E2%2B25=169\"$ --> $\"h%5E2=169-25\"$ --> $\"h%5E2=144\"$ --> $\"h=12\"$
\n" ); document.write( "So the surface area of the front wall, in square meters, is $\"A=10%2A12%2F2=60\"$
\n" ); document.write( "At $120 per square meter, it will cost $ $\"120%2A60\"$ =$ $\"highlight%287200%29\"$ \n" ); document.write( "

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