Question

Two equal sides of an iscosles triangle are (3x-1) units and (2x+2) units. the third side is 2x units. find x and the perimeter of the triangle

Answer 1

Answer:

8,8,6 and 22 units

Step-by-step explanation:

In an isoceles triangle the given equal sides are,

3x-1 and 2x+2. So,

3x-1=2x+2

3x-2x=2+1 → 1x =3

x=3→( equation a)

Then , the first side is→ 3x-1 = 3×3-1 ( equation a)

→9-1= 8

So one side is 8.

Then, the second side is→2x+2=2×3+2(equation)

→6+2=8

And the second side is 8.

In the question it is mentioned that the other side is 2x; so the third side is→2×3=6

the third side is 6.

we know that,

the perimeter of a triangle= sum of all the sides

So, Perimeter=1st side+2nd side+3rd side

= 8+8+6=16+6=22 units

Therefore, the sides are 8,8,6 units respectively and the perimeter of the triangle is 22 units.

Hope so it helps !