Match the following:

Find the length of AB, if ΔABC ~ ΔRQP and BC = 14 cm, QP = 7 cm and RQ = 5 cm.

Determine the hypotenuse of an isosceles right-angled triangle where each of its equal sides measures 9√7 cm.

Find area of a trapezium with parallel sides 12 cm and 18 cm, height 10 cm.

In triangle ABC, vertices are A(2, 3), B(8, 5) and C(4, −1). Find the coordinates of the centroid and the length of the median from A.

Find the area of a triangle with sides 13 cm, 14 cm and 15 cm.

Find the inradius of an equilateral triangle whose altitude is 9√3 cm.

What is the height of an equilateral triangle with a side length of 16√11 cm?

Triangle ABC has AB = 10, AC = 8, angle A = 60°. Find BC.

A triangle has sides 13 cm, 14 cm, and 15 cm. Find the area of the triangle.

Calculate the hypotenuse of an isosceles right-angled triangle where the equal sides are 8√6 cm each.