Question

Int he figure below find AC

Answer 1

Given :-

• Two triangles with their two angles equal .

To Find :-

• Measure of AC .

Answer :-

Here in ∆ABC and ∆EDC ,

• 
  `\angle` CAB =
  `\angle`CED (given )
• 
  `\angle` CBA =
  `\angle`CDE (given)

Therefore by AA similarity criterion , we can say that ∆ABC ~ ∆EDC . Also we know that corresponding sides of similar triangles are proportional . So ,

→ AC/EC = BC/DC

→ AC/9 = 8/12

→ AC = 8/12 * 9

→ AC = 6

Hence the measure of side AC is 6 .

I hope this helps.