Pythagoras (Cambridge (CIE) IGCSE Maths: Core)

Calculate .

= ........................................... cm

The diagram shows a rectangle 14cm by cm.
The diagonal is 23 cm.

Calculate the value of .

The diagram shows a right-angled triangle.

Calculate the value of .

= ...................................................

The diagram shows a right-angled triangle .
Calculate the length of .

= ................................................m 

The diagram shows a rectangular playground . m and m.

Calculate .

............................ m [3]

The length of one side of a rectangle is 12cm.

The length of the diagonal of the rectangle is 13cm.

Calculate the area of the rectangle.

.......................................... cm² 

Triangles  and  are both right-angled triangles.

Calculate the value of .

................................ 

The diagram shows a field in the shape of a trapezium. and .
Angle  = angle  = .

i) Show that , correct to the nearest metre.

[3]

ii)A fence is built around the perimeter of the field.

It costs  to build each 5-metre section of the fence. Calculate the cost of building this fence.

 .................................... [3]

Sam has a rectangular pond, .

i) Calculate .

 = ...............................m [3]

ii) He puts a fence around the edge of the pond.
Calculate the length of the fence.

................................m [1]

The diagram shows a right-angled triangle.

Calculate the perimeter.

............................................ cm [3]