The sides of a triangular plot are in the ratio $4 : 5 : 6$ and its perimeter is $150 c m$ . Then the sides are:

4 c m, 5 c m, 6 c m

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40 c m, 50 c m, 60 c m

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8 c m, 10 c m, 12 c m

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120 c m, 150 c m, 180 c m

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Solution

The correct option is A $40 c m, 50 c m, 60 c m$
Let the sides of the triangle be $4 x, 5 x, 6 x$ , respectively.
Perimeter of triangle $= 4 x + 5 x + 6 x$
$4 x + 5 x + 6 x = 150 c m$
$15 x = 150 c m$
$\Rightarrow x = 10 c m$
$4 x = 4 \times 10 c m = 40 c m$
$5 x = 5 \times 10 c m = 50 c m$
$6 x = 6 \times 10 c m = 60 c m$
Therefore, the sides are $40 c m, 50 c m,$ and $60 c m$ .

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The sides of a triangular plot are in the ratio 4:5:6 and its perimeter is 150 cm. Then the sides are:

The correct option is A 40 cm,50 cm,60 cmLet the sides of the triangle be 4x,5x,6x, respectively.Perimeter of triangle =4x+5x+6x4x+5x+6x=150 cm 15x=150 cm⇒x=10 cm4x=4×10 cm=40 cm5x=5×10 cm=50 cm6x=6×10 cm=60 cmTherefore, the sides are 40 cm, 50 cm, and 60 cm.

The sides of a triangular plot are in the ratio $4 : 5 : 6$ and its perimeter is $150 c m$ . Then the sides are: