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Answer 1

38cm

Step-by-step explanation:

3x - 5 = 19 - x (since it is an isosceles triangle, the two sides are equal)

3x + x = 19 + 5

4x = 24

x = 6

Perimeter:

= 3x - 5 + 19 - x + 2x

= 4x + 14

Subbing x = 6

= 4 x 6 + 14

= 24 + 14

= 38cm

Answer 2

Answer is :

• 38 cm

Step-by-step explanation:

A isosceles triangle is a triangle which must have two equal sides of same length.

Here,

3x - 5 = 19 - x

solving for x

Move all the terms containing x to the left hand side of the equation.

3x + x = 19 + 5

4x = 24

x = 24 ÷ 4

x = 6

Plugging the value of x in the two equal sides 3x - 5 and 19 - x

3x - 5 = 3(6) - 5 = 18 - 5 = 13 cm

19 - x = 19 - 6 = 13 cm

So the length of two equal sides is 13 cm.

Then the length of third side will be :

2x [plugging the value of x]

2 (6) = 12

Now let's come to the perimeter of the isosceles triangle.

Perimeter = Sum of all sides

= 13 + 13 + 12

= 26 + 12 = 38 cm