Q. 9. In the adjoining figure, S and T trisect the side QR of a right DPQR. Prove that:
OR
In the ABC and DBC are two triangles on the same base BC. If AD intersects BC at O. Prove that:
Q. 10. QR is a tangent at Q to a circle whose centre is P. PRPAQ, where AQ is a chord through A, the end point of diameter AB. Prove that BR is a tangent at B.
OR
Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
Use the above theorem for the following:
If the areas of two similar triangles are equal, prove that they are congruent.
