Question

The sides of a triangular field are in the ratio 3 : 4 : 5. The perimeter of the triangular field is 144 m. Find the longest side of the field.
15 m
60 m
90 m
30 m​

Answer 1

Step-by-step explanation:

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Answer 2

☆ SOLUTION ☆

Given :-

• The sides of a triangular field are in the ratio 3 : 4 : 5.
• The perimeter of the triangular field is 144 m.

To Find :-

• The longest side of the field.

Step-by-Step-Explanation :-

Let the ratios be 3x, 4x and 5x

According to the condition,

3x + 4x + 5x = 144

12x = 144

x = 144/12

x = 12

Thus,

The value of x is 12 m

Now,

The measures of sides :-

3x = 3 × 12 = 36 m

4x = 4 × 12 = 48 m

5x = 5 × 12 = 60 m

Thus,

The longest side of triangular field = 60 m

Hence,

Option 2) 60 m is correct option .