Question

Check whether the triangles are similar and find the value of x

Answer 1

In ∆ABC and ∆PQC

∠PQC = 70°

∠ABC = ∠PQC = 70°

∠ACB = ∠PCQ ...(common)

∆ABC ~ ∆PQC

`5/x = 6/3`

6x = 15

x = `15/6 = 5/2`

∴ x = 2.5

∆ABC and ∆PQC are similar.

The value of x = 2.5