Cambridge International Mathematics

188 The theorem of Pythagoras (Chapter 8)

8 Two circles have the same centre. The tangent drawn

from a point P on the smaller circle cuts the larger circle

at Q and R.

Show that PQ and PR are equal in length.

9 Findx, correct to 3 significant figures:

ab

10 A barn has the dimensions given.

Find the shortest distance from A to B.

Review set 8B

#endboxedheading

1 Find the value ofx:

abc

2 Show that the following triangle is right angled

and state which vertex is the right angle:

3 Is triangle ABC right angled?

Give evidence to support your answer.

Q

R

P

xcm

5cm Ö`7cm

xm

5m

6m

Ö`4`2

2 x

5 x

A

B

C

2

5

~` 2 ` 9

10 m

5m

4m

AC

B

2m

5m

1.5 m

A

3m B

10 cm

2cmx

xcm

xcm tangent

5cm

9cm

O

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Y:\HAESE\IGCSE01\IG01_08\188IGCSE01_08.CDR Friday, 10 October 2008 4:46:20 PM PETER