the sides of triangle are in the ratio 25 : 7 : 25 the and its perimeter is 540 m. find the sides of triangle and its area ?
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Answer:
sides are 250, 170,120 area of the triangle is 9000 m²
Step-by-step explanation:
the correct question is
the sides of a triangle are in the ratio 25:17:12 the and its perimeter is 540 m. find the sides of the triangle and its area?
answer- let the common ratio of sides be x
so the sides are
25x, 17x, 12x
25x+17x+12x=540
54x=540
x=540/54
x=10
so sides are
25x=25×10=250
17x=17×10=170
12x=12×10=120
semiperimeter=perimeter/2
semiperimeter=540/2
semiperimeter=270
area of triangle=√s(s-a)(s-b)(s-c)
=√270(270-250)(270-170)(270-120)
=√270×20×100×150
=√81000000
=9000 m²
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