SOLUTION: A steel plate in the shape of a triangle has a side in the continued ratio 2:4:5 if the shortest side is 20 cm long . Find the area of the plate

Algebra ->  Triangles -> SOLUTION: A steel plate in the shape of a triangle has a side in the continued ratio 2:4:5 if the shortest side is 20 cm long . Find the area of the plate      Log On


   



Question 963384: A steel plate in the shape of a triangle has a side in the continued ratio 2:4:5 if the shortest side is 20 cm long . Find the area of the plate
Answer by amarjeeth123(570) About Me  (Show Source):
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Ratio of sides=2:4:5
If the shortest side is 20 cm the other two sides are 40 cm and 50 cm respectively.
Semi perimeter=s=(a+b+c)/2=(20+40+50)/2=55 cm
Area of the triangle=√s(s-a)(s-b)(s-c)=√55(35)(15)(5)=379.96 sq cm.