Question

the perimeter of a triangle is 60cm. if its sides are in the ratio 1:3:2: then its smallest side is.

Answer 1

• Let the sides be x , 3 x and 2 x.

A/Q, 6 x = 60

so

x = 10

Its smallest angle = 10.

Answer 2

Answer:

Length of smallest side is 10 cm.

Step-by-step explanation:

Given, perimeter of a triangle is 60cm.

Ratio of sides of the triangle is 1:3:2.

Let first side be x cm

Second side be 3x cm and third side be 2x cm.

Now we know perimeter of the triangle.

But now question is what is the formula of perimeter.

If three sides of the triangle be a unit, b unit and c unit then perimeter of the triangle will be $(a + b + c)$unit.

For example,

A triangle has three side 3 unit,4unit and 5 unit.

So perimeter of this triangle is $(3 + 4 + 5) = 12$unit.

Here sides are x cm,3x cm,2x cm and perimeter is 60 cm.

So according to question,

$x + 3x + 2x = 60 \\ 6x = 60 \\ x = \frac{60}{6} \\ x = 10$

Therefore length of first side is $(1 \times 10)$cm = 10 cm

Length of second side is $(3 \times 10) = 30$cm

and length of third side is $(2 \times 10) = 20$cm.

Therefore, length of smallest side is 10 cm.