Question

the base of an isosceles triangle is 6cm &perimeter is 16cm. length of each of the equal sides is

Answer 1

We know that in an isosceles triangle, two sides are equal.
So, Given here:
Base         = 6cm
Perimeter =16cm
Length       = ?
So, let's keep the length as 'x'.
What they have asked is to find their length.
Then, 
         x + x + 6 = 16 cm
           2x   + 6 = 16 cm
           2x   = 16 - 6 = 10 cm
             x    = 10 / 2 = 5 cm
Therefore, we found that the length of each side is 5 cm.
Hence, we verified that perimeter of a triangle if 16 cm = 5 + 5 + 6.

Answer 2

The given question is the base of an isosceles triangle is 6cm &perimeter is 16cm.

we have to find the length of each of the equal sides is,

As we know, an isosceles triangle is a triangle that has at least two sides of equal length.

Sometimes it is specified as having exactly two sides of equal length.

The given data are Base = 6 cm.

Perimeter = 16 cm.

length =?

let, the value of the length will be " x ".

It states that the two sides of the isosceles triangle are equal.

The perimeter of the triangle is l+b+h = 16 cm.

let the length and the height will be x and the base is 6 cm.

$x + x + 6 = 16 \\ 2x + 6 = 16 \\ 2x = 16 - 6 \\ 2x = 10 \\ x = \frac{10}{2} = x = 5cm$

Hence, the length of the triangle will be 5 cm.

The perimeter of the triangle is

$5 + 5 + 6 = 16$

Hence, the length of each of the equal sides is 6 cm.

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