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In a triangle, sides are proportional to 7:9:14. If the shortest side is 14 cm, find the perimeter.
Question

In a triangle, sides are proportional to 7:9:14. If the shortest side is 14 cm, find the perimeter.

A.

30 cm

B.

60 cm

C.

90 cm

D.

120 cm

Correct option is B

Given:
Ratio of the sides of the triangle = 7 : 9 : 14
Shortest side = 14 cm
Formula Used:
Perimeter of a triangle = Sum of all sides
Solution:
Let the common multiplier for the ratio be x.
The sides of the triangle are 7x, 9x, and 14x.
The shortest side corresponds to the smallest ratio part, which is 7x.
7x = 14
x = 2
Calculate the lengths of the other two sides using the multiplier.
Second side = 9 × 2 = 18
Third side = 14 × 2 = 28
Find the perimeter by adding all three sides.
Perimeter = 14 + 18 + 28
Perimeter = 60
Final Answer
So the correct answer is (b)

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