Question

10. If AB = BC, AX = 4x + 5, and CX = 15, find AC.

Answer 1

Answer:

AC = 30 units

Step-by-step explanation:

if AB = BC, then this is an isosceles triangle.

further BX intersects the base (AC) of the isosceles triangle at a right angle.

This means that the line of symmetry BX divides triangle ABC into two congruent triangles where AX = CX.

hence AC is

AX + CX

= CX + CX

= 15 + 15

= 30 units