If the ratio of the heights of two identical triangles is 4: 9, find the ratio of the areas of the two triangles.

The area of a rhombus is 144 square units. The length of one of its diagonals is twice the length of other diagonal. What is the sum of length of its diagonals?

Triangle PQR is such that PQ=9 cm, QR=6 cm, PR=7.5 cm and triangle PQR is similar to triangle XYZ. If XY=18 cm, find the value of YZ.

If one of the equal angles of an isosceles triangle is 65°, then the angle at the vertex is

Let ΔABC ∼ Δ PQR and ar(∆ABC)/ar(∆PQR) =4/25. If AB = 12 cm, BC = 8 cm and AC = 9 cm, then QR is equal to:

5√2 cm in a circle. If the long chord makes a right angle at the centre, then what will be the length of the radius of the circle?

The ratio of circumradius and hypotenuse a right-angled triangle is

'G' is centroid of ΔABC if AG = BC then find ∠BGC.