Cambridge International Mathematics

180 The theorem of Pythagoras (Chapter 8)

6 A rhombus has diagonals of length 8 cm and 10 cm. Find its perimeter.

7 On the grid there are four towns A, B, C and D. The grid

lines are 5 km apart. How far is it from:

a AtoB b BtoC c CtoD

d DtoA e AtoC f BtoD?

Give all answers correct to 3 significant figures.

8 A yacht sails 5 km due west and then 8 km due south.

How far is it from its starting point?

9

10 A street is 8 m wide, and there are street lights positioned either side of the street every 20 m.

How far is street light X from street light:

a A b B c C d D?

11 Find any unknowns in the following:

abc

12 An equilateral triangle has sides of length 12 cm.

13 The area of a triangle is given by the formulaA=^12 bh:

a An isosceles triangle has equal sides of length 8 cm and a base

of length 6 cm. Find the area of the triangle.

b An equilateral triangle has area 16

p

3 cm^2. Find the length of

its sides.

14

D

A

B

C

ABCD

X

45°

y°

2cm

xcm

12 cm

hcm

xcm

7cm

1cm 30°

ycm

xcm

60°

Find the length of one of its altitudes.

Heather wants to hang a m long

banner from the roof of her shop. The

hooks for the strings are m apart, and

Heather wants the top of the banner to

hang m below the roof. How long

should each of the strings be?

7

10

1

10 m

7m

1m

string string

A cyclist at C is travelling towards B. How far will he

have to cycle before he is equidistant from A and B?

10 km

2km

4km

CB

A

6cm

8cm

b

h

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y:\HAESE\IGCSE01\IG01_08\180IGCSE01_08.CDR Wednesday, 17 September 2008 2:29:05 PM PETER