1.

1). 9 cm2). 17 cm3). 18 cm4). 19 cm

Answer»

LET the sides of the TRIANGLE be a, b & c RESPECTIVELY.

$(\because a:b:c = \;\frac{1}{2}:\frac{1}{3}:\frac{1}{4})$

⇒ a = x/2, b = x/3, c = x/4

We KNOW that,

Perimeter of the triangle = a + b + c

$(\Rightarrow 78 = \frac{x}{2} + \frac{x}{3} + \frac{x}{4})$

$(\Rightarrow 78 = \frac{{6x + 4X + 3x}}{{12}} = \frac{{13x}}{{12}})$

⇒ x = 72 cm

∴ Length of the smallest side = c = x/4 = 72/4 = 18 cm



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