A 17 m ladder rests against a vertical wall. Initially, its foot is 8 m from the wall. The foot is then moved so that it is 15 m from the wall. By how far does the top of the ladder move down the wall?

The points P( − 4,2) and Q(8,7) are plotted on a coordinate grid. What is the distance PQ?

An isosceles triangle has two equal sides of length 25 cm and a base of length 14 cm. What is its area?

A vertical mast is supported by a cable from its top to an anchor 7 m from its base. This cable is 25 m long. A second cable runs from the same top to an anchor 10 m from the base. How long is the second cable?

The perpendicular diagonals of a rhombus have lengths 16 cm and 30 cm. The diagonals bisect each other. What is the perimeter of the rhombus?

A cuboid has length 24 cm, width 8 cm, and height 6 cm. What is the length of the straight line joining two opposite vertices of the cuboid?

Use the measurements and right-angle marks in the figure to find x.

What is the perimeter of trapezium ABCD shown in the figure?

The figure shows a square. What is its area?