The perimeter of a triangle is 510 cm square and its sides are in the ratio 14 : 12 : 25. What is the measure of greatest side.
• 170cm
• 120 cm
• 250 cm
• 270 cm
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So,
Perimeter of a triangle = Sum of all its sides
100 cm = 1x + 2x + 3x
100 cm = 6x
100/6 = x
16.66 = x
1 x = 1*16.66 = 16.66
2 x= 2*16.66 = 33.32
3 x= 3*16.66 = 49.98
Now we should find the area of th
e area of the triangle through “Heron’s formula”
a =16.66
b = 33.32
c = 49.98
s = a + b + c/2 = 16.66 + 33.32 + 49.98/2 = 99.96/2 = 49.98
s-a = 49.98 - 16.66 = 33.32
s-b = 49.98 - 33.32 = 16.66
s-c = 49.98 - 49.98 = 0
Area of triangle = √16.66 * 49.98 * 33.32 * 0
Area of triangle = 0
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