Math, asked by hackeryu, 3 months ago

14. The sides of triangle are in the ratio 3: 5:7 and its perimeter is 300 m. Find its area.​

Answers

Answered by ydharmendra888
0

Step-by-step explanation:

side ratio 3:5:7 =3x+5x+7x=15x

now

perimeter =300m

15x =300

x =20

sides are 3*20, 5*20, 7*20

60, 100, 140

s =(a+b+c)/2=300/2 =150

Area of triangle =√(s(s-a) (s-b) (s-c))

=√150(150-60)(150-100)(150-140)

=√(150*90*50*10)

√(5*5*2*3*3*3*5*2*5*5*2*5*2)

=5*5*5*2*2*3√3 =1500√3

I think it is helpful for you if you like mark as brainliest

Answered by praptitripathi20
0

Answer:

hey mate here is your answer

let the sides of the triangle be 3x, 5x and 7x

= 15 x

Perimeter= 300m

x= 300/ 15

=20

3x= 20 × 3 = 60

7x= 7 ×20 = 140

5x= 5 × 20= 100

Sides are 60, 100, 140

s = a + b + c / 2

=60 + 100 + 140 \ 2

=300/2

= 150

now area of triangle= √s (s- a)(s-b)(s-c)

=√ 150(150-60)(150-100)(150-140)

=150×90×50×10

=√ 5 x 5 ×2 x 3 x 3 x 3 × 5 x 2 ×5×5×2×5×2

= 5×5×5×2×2×3√3

= 1500√3

hope it will be helpful ♥️♥️

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