Question

sides of a triangle are in the ratio of 12 : 17 : 25 and its perimeter is 540cm.Find it's area ..​

Answer 1

Step-by-step explanation:

Let the sides be 12x, 17x and 25x

Perimeter= Sum of all sides of triangle= 540 cm

540 cm = (12x) + (17x) + (25x)

540cm = 54x

x= 540 cm /54

x= 10 cm

Sides of triangle=

12x= 12×10=120 cm

17x= 17×10=170 cm

25x= 25×10=250 cm

S=(120+170+250)/2

S= 540/2

S=270

Area of triangle= √{s(s-a)(s-b)(s-c)}

Area=

√{270(270-120)(270-170)(270-250)}

√{270×150×100×20}

√{(3×3×15×2)×(10×15)×(10×10)×(2×10)

2×3×10×10×15

9000 cm square

OR

0.9 m square

Hope it helps u...

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