Question

the diagram shows an isosceles triangle. all measurements are in cm.

3x-5 19-x
2x

work out the perimeter of the triangle

Answer 1

Answer: 38

Solution: An isosceles triangle has two equal sides: 3x - 5 and 19-x.; 3x - 5 = 19 - x; 4x = 24; x = 6

Let's check it out: 3(6) - 5 = 13; 19 - (6) = 13; 2(6) = 12

Two equal sides are 13 and base 12

Perimeter is 13 + 13 + 12 = 38 units

Answer is: 38

Answer 2

The perimeter of the given isosceles triangle is 38 cm.

What is the perimeter of an isosceles triangle?

The perimeter of an isosceles triangle refers to the addition of all the three sides of the triangle. Since the base angles of an isosceles triangle have two angles and two sides equal;

We can say that the perimeter of an isosceles triangle is:

P = 2a + b

where;

• a = sides of the base angles
• b = third side

3x - 5 =  19 - x

3x + x = 19 + 5

4x = 24

x = 24/4

x = 6

The perimeter of the isosceles triangle is:

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

= 3(6) - 5 + 19 - 6 + 2(6)

= 18 + 8 + 12

= 38 cm

Learn more about the perimeter of an isosceles triangle here:

https://brainly.com/question/11296804