The leNgth and the sides of the triangle are in ratio 4:5:6 and it's perineter is 150cm . Find the area of triangle and the height corresponding to the longest side
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Let, the triangle sides be 4x, 5x, and 6x.
A/Q,
Perimeter of the triangle = 150 cm
Sum of all sides = 150cm
= 4x+5x+6x = 150cm
= 15x =
= x = 150/15
= x = 10
Hence, The triangle sides is 4x = 4×10 = 40
5x = 5×10 = 50
6x = 6×10 = 60
Base = 40cm
Height = 90cm
A/Q,
Area of triangle = 1/2 × b × h
= 1/2 × 40cm × 90 cm
= 1800cm²
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