the perimeter of isosceles of trapezium is 134 cm and the bases are 54cm and 30 cm in length. find it height and area
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The perimeter of an isosceles trapezoid is 110 m, and the bases are 40 m and 30 m in length. What is the length of the nonparallel sides of the trapezoid and its area?
Perimeter of isosceles trapezium = 110 m
Parallel sides are a = 40 m, and b = 30 m,
The equal sides, c, are each = [110–40–30]/2 = 20 m.
Height of trapezium = distance between the parallel sides
= (1/2)[4c^2 -(a-b)^2]^0.5
= (1/2)[4*400-(40–30)^2]^0.5
= (1/2)[1600=100]^0.5
= 0.5*1500^0.5 = 19.36491673 m.
Area of trapezoid = (1/2)*(40+30)*19.36491673
= 35*19.36491673
= 677.7720856 sq m.
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