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If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side

The sides of ...

Question

The sides of a triangular plot are in the ratio $4 : 5 : 6$ and its perimeter is $150$ cm. 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 B $40 c m, 50 c m, 60 c m$
Let the sides of $△$ plot are, $a = 4 x, b = 5 x, c = 6 x$
Now, perimeter of plot $= 4 x + 5 x + 6 x = 15 x$
$\Rightarrow 15 x = 150 c m \Rightarrow x = 10 c m$
$∴ a = 40 c m, b = 50 c m & c = 60 c m$

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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 B 40cm, 50cm, 60cmLet the sides of △ plot are, a=4x,b=5x,c=6xNow, perimeter of plot =4x+5x+6x=15x⇒15x=150cm⇒x=10cm∴a=40cm,b=50cm&c=60cm

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 B $40 c m, 50 c m, 60 c m$
Let the sides of $△$ plot are, $a = 4 x, b = 5 x, c = 6 x$
Now, perimeter of plot $= 4 x + 5 x + 6 x = 15 x$
$\Rightarrow 15 x = 150 c m \Rightarrow x = 10 c m$
$∴ a = 40 c m, b = 50 c m & c = 60 c m$