Question

The lengths of sides of a triangle are in the ratio 3: 4: 5 and its perimeter is 120 cm, find its area.

Answer 1

3x + 4x + 5x = 120

12x = 120

x = 10

so 3x = 30

4x = 40

5x = 50

so the sides are 30cm, 40cm, and 50cm

a = 30, b = 40, c = 50

s = ½p = 60

by Heron's formula,

area = √[s(s-a)(s-b)(s-c)]

= √[60(60-30)(60-40)(60-50)]

= √[60*30*20*10]

= √360000

= 600

therefore the area of the triangle is 600cm²

Answer 2

Answer:

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