The lengths of the sides of a triangle are in the ratio 4:5:6 and its perimeter is 150cm
Find the area of the triangle (ii) the height corresponding to the longest side.
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Answer:
let side be -x
Ratio-4:5:6
1st side-4x
2nd side-5x
3rd side-6x
perimeter of triangle=sum of all sides
4x+5x+6x=150
15x=150
x=10
1st side= 4x=40
2nd side=5x=50
3rd side=6x=60
Area of triangle = root75 (75-40)(75-50)(75-60)
= root 35×25×15×75
=10 root 1365
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