Question

in a triangle abc angle C = angle A, AC-AB=3cm and its perimeter is 15 cm. Find AC.

Answer 1

Given. Angle C= angle A.
So AB=BC( opposite sides equal to equal Opposite angles..)

Given AC-AB=3Cm.
And Perimeter =15cm.

Now Perimeter=AC+AB+BC.
→15=AC+BC+AB.
→15=AC+BC+(AC-3) [Since AC-AB=3→AC=3+AB→AB=AC-3]

→15=AC+AB+AC-3(AB=BC)
→15+3=2AC+(AC-3)
→18+3=3AC
→21=3AC
→AC=21/3

→AC=7Cm

Hope It helps

Regards,
Leukonov.

Answer 2

I will explain with help of photo