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:

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.

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?

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 adjacent angles on a straight line are in the ratio 5 ∶ 4, then the smaller angle is –

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

In a circle with centre O, AB is the diameter. P and Q are two points on the circle on the same side of the diameter AB. AQ and BP intersect at C. If ∠POQ = 54°, then the measure of ∠PCA is: