Question

In the given figure, given that ∆ABC ∼ ∆PQR and quad ABCD ∼ quad PQRS. Determine the value of x, y, z in each case.

Answer 1

(i) We have,

So the ratio of the sides of the triangles will be proportional to each other.

Therefore put the values of the known terms in the above equation to get,

On solving these simultaneous equations, we get

(ii) We have,

So the ratio of the sides of the quadrilaterals will be proportional to each other.

Therefore put the values of the known terms in the above equation to get,

On solving these simultaneous equations, we get