In a triangle ABC, right angled at B, if tan C = √3, then find the value of (sin²C + cos²C) / (1 + cot²C).

ABCD is a rectangle with sides AB = 56 cm and BC = 45 cm, and E is the midpoint of side CD. Then, th...

If a triangle $$ \Delta ABC $$ is inscribed in a circle (with vertices $$ A $$, $$ B $$, and $$ C $...

In triangle $$\triangle PQR$$, two medians $$PS$$ and $$RT$$ intersect at point $$G$$, forming a ri...

The midpoints of sides AB, BC, and AC in △ ABC are M, N, and P, respectively. The medians drawn from...

If **ABCD** is a trapezium in which **AB** is parallel to **CD**, the sides **AD** and **BC** when e...

The coordinates of the three vertices of a triangle are: (1, 2), (7, 2), and (1, 10). Then the radiu...