Triangular Truss Triangle
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Tough geometry help :[?
A manufacturer makes trusses or triangular supports, for the roofs of houses. each truss is the shape of an isosceles triangle in which PQ (line over pq) is = (squiggly line over equal sign) PR (line over pr). The length of the base QR (line over qr) is 4/3 the length of each of the congruent sides.
1.) The perimeter of each truss is 60 ft. Find each side of the length.
2.) How many trusses can the manufacturer make from 150 feet of lumber?
I'm really good in geometry but I feel like a dumb*** on this question...
What grade am I in? I'm in 7th grade
1) Let x be the length of PQ. Then the perimeter is:
PQ + PR + QR = 60
Since PQ and PR have the same length, then
x + x + (4/3)x = 60
Solve this for x. That will be the length of two of the sides. The length of the third is (4/3)x.
2) Each truss is 60 feet, so divide 150 by 60 and drop any remainder. That's how many whole trusses you can make.
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