Mensuration Practice Test 6

Question : 20 of 40

Marks: +1, -0

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side, If the perimeter of the triangle is at least 61 cm, what is the minimum length of the shortest side?

9 cm
27 cm
65 cm
36 cm

Validate

Solution:

Let the shortest side of the triangle = x cm
Longest side = 3x cm
Third side = (3x − 2) cm
Perimeter of the triangle = 61 cm
x + 3x + (3x − 2) = 61
7x − 2 = 61
7x = 61+ 2
7x = 63
x =

{63}/7

= 9
Minimum length of the shortest side = x = 9 cm.

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