Question

side of atriangle are in the ratio 12:17:25 and its perimeter is 540 find its area
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Answer 1

Answer:

9000

Step-by-step explanation:

The sides of triangle = 12x, 17x, 25x

Perimeter = Sum of three sides

12x + 17x + 25x = 540

54x = 540

x = 10

So, the sides are,

12x = 12×10 = 120

17x = 17×10 = 170

25x = 25×10 = 250

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

S = (a+b+c)/2

= 540/2 = 270

= √270(270-120)(270-170)(270-250)

= √270 × 150 × 100 × 20

= √81000000

= 9000 m² or cm²   ∵[you didn't give the unit]

Answer 2

Answer:

ANSWER

⇒Let x be common ratio

∴ Sides of triangle will be: 12x,17x and 25x

⇒Perimeter =540 cm(given)

⇒12x+17x+25x=540 cm,

⇒54x=540 cm

⇒x=10 cm

∴ Sides of triangle: a=120,b=170,c=250 cms

⇒2S=540

⇒S=270 cm

A= (s(s−a)(s−b)(s−c)) underroot

$\sqrt{270(270 - 120)(270 - 170)(270 - 250)}$

$\sqrt{270 \times 150 \times 100 \times 20}$

A= 9000 cm square

hope itz help you...