Question

The perimeter of a triangle is 144 cm and ratio
of lengths of its sides is 2:3:4. Construct the
triangle.​

Answer 1

Step-by-step explanation:

2x + 3x+ 4x= 144

9x=144

x =144/9

x= 16

32 ,48 ,64 are the sides

Answer 2

Step-by-step explanation:

Let the ratio of sides be x.

Then,

Side 1 = 2x

Side 2 = 3x

Side 3 = 4x

Given, Perimeter = 144cm

We know,

Perimeter = Sum of all all sides

144 = Side 1 + Side 2 + Side 3

144 = 2x + 3x + 4x

9x = 144

x = 16

Therefore,

Side 1 = 2x = 32cm

Side 2 = 3x = 48cm

Side 3 = 4x = 64cm

Now, It is easy to construct the triangle.

Hope it helps!

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