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Asked by Swathi Last Modified
Answer 
Let the sides of the triangle be 12x, 17x & 25x.
∴ 12x + 17x + 25x = 540cm ⇒ 54x = 540
⇒ x = 540/54 = 10.
∴ the sides are 12 × 10 = 120cm, 17 × 10
= 170cm & 25 × 10 = 250cm.
∴ the area of the triangle
= √270 ( 270 - 120 )( 270 - 170 )( 270 - 250)
√ 270 X 150 X 100 X 20 = 100√ 27 X 15 X 10 X 2 = 100√ 3 X 3 X 3 X 3 X 5 X 5 X 2 X 2 = 100 X 3 X 3 X 5 X 2 = 9000cm².
read less
Let the sides of the triangle be 12x, 17x & 25x.
∴ 12x + 17x + 25x = 540cm ⇒ 54x = 540
⇒ x = 540/54 = 10.
∴ the sides are 12 × 10 = 120cm, 17 × 10
= 170cm & 25 × 10 = 250cm.
∴ the area of the triangle
= √270 ( 270 - 120 )( 270 - 170 )( 270 - 250)
√ 270 X 150 X 100 X 20 = 100√ 27 X 15 X 10 X 2 = 100√ 3 X 3 X 3 X 3 X 5 X 5 X 2 X 2 = 100 X 3 X 3 X 5 X 2 = 9000cm².
read less
Lets the sides be 12x ,17x and 25x respectively.
Its perimeter = 12x + 17x + 25x which is 540cm
Therefore , according to the question
12x +17x+25x = 540
29x +25x = 540
54x = 540
X = 540/54
X = 10.
Therefore the sides are 12×10 =120
17×10= 170
25×10 = 250
Therefore area of the triangle = √S(s-a)(s-b)(s-c)
=√270(270-120)(270-170)(270-250)
=√270×150×100×20
=√3×3×3×10×3×5×10×2×2×5×5×2×10
=9000cm²
Area of the triangle is 9000cm²
read less Lets the sides be 12x ,17x and 25x respectively.
Its perimeter = 12x + 17x + 25x which is 540cm
Therefore , according to the question
12x +17x+25x = 540
29x +25x = 540
54x = 540
X = 540/54
X = 10.
Therefore the sides are 12×10 =120
17×10= 170
25×10 = 250
Therefore area of the triangle = √S(s-a)(s-b)(s-c)
=√270(270-120)(270-170)(270-250)
=√270×150×100×20
=√3×3×3×2×5×3×5×2×5×2×2×5×5×2×2×5
=9000cm²
Area of the triangle is 9000cm²
read less
Let the common ratio between the sides of the given triangle be x.
Therefore, the side of the triangle will be 12x, 17x, and 25x.
Perimeter of this triangle = 540 cm
12x + 17x + 25x = 540 cm
54x = 540 cm
x = 10 cm
Sides of the triangle will be 120 cm, 170 cm, and 250 cm.
Therefore, the area of this triangle is 9000 cm2.
read lessView 8 more Answers
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