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