goals

If $$S$$ is any point in the interior of $$\Delta PQR$$, prove that $$(SQ + SR) < (PQ + PR)$$.

In $$\Delta ABC, \, \angle A = 90^o , \, AB = 5$$ cm and $$BC = 13 $$ cm. Find the radius of the incircle of $$\Delta ABC$$.

The sides of a triangle are $$6$$ cm, $$11$$ cm and $$15$$ cm. Construct incircle and find the radius of the triangle.

In right triangle **ABC**, the right angle is at **C**, **M** is the mid-point of hypotenuse **AB**. C is joined to **M** and produced to a point **D** such that **DM = CM**. Point **D** is joined to point) **B** (see figure).

When we write $$\angle A = \angle B$$ , we actually mean ______________.