Question

3. The ratio of the sides of triangle 4:3:2.
The perimeter of the triangle is 108 cm.
What is the length of the longest side? What is answer
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Answer 1

Answer:

48 cm

Explanation:

Given Ratio= 4:3:2

$Let\;the\;common\;multiple\;=x$

$SO,\;\;Perimeter=4x+3x+2x$

=>$9x=108$

$=>x=108/9=12$

As longest side will be the biggest no.

That is 4x in this case.

So, longest side= 4(12)= 48 cm

Answer 2

Answer:

We have

ratio of sides = 4:3:2

Perimeter of the triangle = 108cm

To find: The length of the longest side

Sol.

Let the sides of triangle be 4x,3x,2x for x as any natural number.

since, sum of the sides = perimeter

therefore, 4x + 3x + 2x = 108

or 9x = 108

or x = 12

So, length of the longest side = 4x = 48 cm