The side of a triangle are in the ratio 3:5:7 and perimeter is 300m. Find its area
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Let the common multiple be x,
Then,
3x + 5x + 7x = 300
15x = 300
x=20
A => 3x = 3×20 = 60 cm
B => 5x = 5×20 = 100 cm
C => 7x = 7×20 = 140 cm
semi-perimeter = 300/2
= 150 cm
By Herons Formula,
Area = 500 root 33 cm^2
Refer the attached image for better understanding
Then,
3x + 5x + 7x = 300
15x = 300
x=20
A => 3x = 3×20 = 60 cm
B => 5x = 5×20 = 100 cm
C => 7x = 7×20 = 140 cm
semi-perimeter = 300/2
= 150 cm
By Herons Formula,
Area = 500 root 33 cm^2
Refer the attached image for better understanding
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