the side of tringle are in the ratio 15:13:14 and its perimeter is 168cm.find the area of the triangle.
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your answer is :
it is given the perimeter is 168.
ratio is given 15:13:14
sum of the ratio =42
sides of triangle are,
=>15/42*168=15*4=60cm
=>13/42*168=13*4=52cm
=>14/42*168=14*4=56cm.
thus, sides of triangle are 60cm,52cm,56cm
by the heron's formula i.e √s(s-a)(s-b)(s-c)
=> √168(168-15)(168-13)(168-14)
=> √168*153*155*154
=>√(2square*2*3*7)*(3square*17)*(5*31)*(2*7*11)
after opening the brackets,write all square on one side and single whole no. on the other.
=> 2*2*3*7√3*17*5*11*31
=> 84√86,955 cm2
hope it helped ya'.
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