Question

In the diagram, all measurements are in centimetres.

ABC is an isosceles triangle.
AB - 2x
AC - 2x
BC - 10
(a) Find an expression, in terms of x, for the perimeter of the triangle
Simplify your expression.
(2)
The perimeter of the triangle is 34 cm.
(b) Find the value of x.

Answer 1

y = 4x + 10 x = 6

Explanation:

a) perimeter = 2x + 2x + 10 = 4x + 10

b) perimeter = 34

⇒ 4x + 10 = 34

⇒ 4x = 34 - 10 = 24

⇒ x = 24 ÷ 4 = 6