Question

perimeter of a triangle is 300. if it's sides are in the ratio 3:5:7. find it's area. ​

Answer 1

Answer:

Let the side be 3x,5x and 7x

3x+5x+7x=300

15x=300

x=20

sides are=60,100,140

s=(60+100+140)/2=150

From heron formula,

Area=√150(150-60)(150-100)(150-140)

=√150(90)(50)(10)

=100√3(5)(3)(3)(5)

=100(15)√3=1500√3

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Answer 2

Step-by-step explanation:

Given,

Perimeter = 300

Sides in ratio= 3:5:7

Let the sides be 3x, 5x and 7x.

Perimeter of a triangle= sun of all sides.

300= 3x+ 5x +7x

300= 15x

15x= 300

x= 300/15

x= 20

Therefore ,the sides are as followed

3x= 3×20 = 60

5x= 5×20 = 100

7x= 7×20 = 140

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