Question

The perimeter of a triangle is 60 cm andsides are in the ratio 4:3:5. Find its area.
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Answer 1

Answer:

area of traingle = 150cm²

Step-by-step explanation:

perimeter is sum of sides

lets take x as comon in thrice

so, 4x+3x+5x = 60

12x = 60

x= 60/12

x = 5

4×5=20

3×5=15

5×5=25

sides = 15 cm , 20 cm, 25 cm

area of triangle by heron's formula

15 + 20 + 25 = 60/2 = 30

30(30-15)(30-20)(30-25)

= 30×15×10×5 whole root =

= 15×15×2×2×5×5

= 15×2×5 = 150 cm²

area of triangle = 150cm²

Answer 2

Step-by-step explanation:

let the ratio of Triangle= 4x,3x,5x

perimeter of Triangle= sum of all side

60 cm = 4x+3x+5x

60cm= 12x

60/12= x

5 = x

4x=4×5=20cm

3x=3×5=15cm

5x=5×5=25cm

s= a+b+c/2

= 20+15+25/2

= 60/2

= 30cm

area of Triangle=√s(s-a)(s-b)(s-c)

= √30(30-20)(30-15)(30-25)

= √30×10×15×5

= √22500

= 150cm²