It is given that ∆ABC ≅ ∆PQR, AB = 5 cm, ∠B = 40°, and ∠A = 80°. Which of the following options is true?

The area of the triangle whose vertices are given by the coordinates (1, 2), (-4, -3) and (4, 1) is:

'The total surface area of a cube is 600 sq cm, what will be the length of its diagonal?

In ∆ABC, the bisector of ∠A intersects side BC at D. If AB = 12 cm, AC = 15 cm and BC= 18 cm, then the length of BD is:

The sides BA and DE of a regular pentagon are produced to meet at F. What is the measure of ∠EFA?

In Δ ABC, D and E are points on AB and BC, respectively, such that DE is parallel to AC. If DE = 3 cm, AC = 5 cm and the area of trapezium ACED = 32 cm2, then what will be the area of Δ BDE?

In ∆PQR, O is the incentre and ∠P = 42°. Then what is the measure of ∠QOR?

O is the centre of this circle. Tangent drawn from a point P, touches the circle at Q. If PQ = 24 cm and OQ = 10 cm, then what is the value of OP?