Question

The perimeter of a triangle is 180 cm and the sides are in the ratio 5: 6: 7. Find area of ​​triangle.​

Answer 1

Answer:

Let the sides be 5x,6x and 7x

The perimeter is 180⁰

5x+6x+7x=180

18x=180

x=180/18

x=10

5x=50⁰,6x=60⁰,7x=70⁰

Semi perimeter=a+b+c/2

=50+60+70/2

=180/2=90

By heron's formula

√s(s-a)(s-b)(s-c)

=√90(90-50)(90-60)(90-70)

=√90×40×30×20

=√3×3×2×5×2×2×2×5×3×2×5×2×2×5

=3×2×5×2×2×5√3×2

=600√6

Answer 2

Answer:

5x+6x+7x= 180

18x=180

x= 180/18

x=10

now,

5x=5×10=50

6x=6×10=60

7x=7×10=70

semi perimete = a+b+c/2

50+70+60/2

90

√s(s-a)+(s-b)+(s-c)

√90(90-50)+(90-70)+(90-60)

853.814....

I HOPE THIS WILL HELPFUL TO YOU

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