Understanding Engineering Mathematics

5.1.8 Pythagoras’ theorem ➤154 163➤➤

The largest sides of a right angled triangle have lengths 5 and 6 units. What is the length
of the third side?

5.1.9 Lines and angles in a circle ➤156 163➤➤

Determine the angles indicated (Ois the centre of the circle)

C

A

A

A

B

D B

P

b

a

a

B

a

O

O O

40 °

35 °

30 °

50 °

30 °

(i) (ii)

(iii) (iv)

C

D C

A

a B

b

c

O

20 °

Figure 5.8

5.1.10 Cyclic quadrilaterals ➤159 165➤➤

Determine the angles indicated.

O

C

C

A

A

a

d 3 a

b b

B

B

(i)

D

D

95 °

125 °

(ii)

Figure 5.9