the perimeter of triangle is 540 and its sides are in the ratio 25:17:12: find the area of triangle
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Answered by
8
Step-by-step explanation:
Perimeter of triangle = 540 cm
Ratio of sides = 25:17:12
Let common factor = x
According to question
25x + 17x + 12x = 540
54x = 540
x = 540/54
x= 10 cm
Sides
25x = 250cm
17x = 170cm
12x = 120cm
Area = √s(s-a)(s-b)(s-c)
s = perimeter of triangle/ 2
s = 540/2
s= 270 cm
Area = √270(270-250)(270-170)(270-120)
= √270×20×100×150
= √2×3×3×3×5×2×2×5×2×2×5×5×2×3×5×5
= 2×2×2×3×3×5×5×5
= 8×9×125
= 9000 cm
Answered by
7
Answer:
9000cm................
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