Question

10
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.
(4 marks)​

Answer 1

Answer:

  (a) P = 4x+10

  (b) x = 6

Step-by-step explanation:

(a) The perimeter is the sum of the side lengths:

  P = AB +AC +BC = 2x +2x +10

  P = 4x+10

__

(b) For P=34, the value of x is ...

  34 = 4x +10 . . . .substitute given value for P

  24 = 4x . . . . . . . subtract 10

  6 = x . . . . . . . . . .divide by 4