review exercise 18 (subjective)
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math form 2TRANSCRIPT
Review Exercise 18
Subjective Questions
1. Name the hypotenuse in each of the following triangles.(a) (b)
(c) (d)
2.
In the diagram, QTS is a straight line. Name the hypotenuse in the following right-angled triangles.(a) PQS (b) QRT (c) RST
3. Copy and complete.(a) (b)
l2 = + q2 = +
k2 = – p2 = –
m2 = – r 2 = –
© Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR1
Review Exercise 18
4. Write a relationship connecting the lengths of each side of the following triangles based on Pythagoras’ theorem.(a) (b)
(c) (d)
5. Based on Pythagoras’ theorem, state z2 in terms of x and y in the following triangles.(a) (b) (c)
6. Calculate the length of the hypotenuse in each of the following triangles.(a) (b)
(c) (d)
© Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR2
Review Exercise 18
7. By using Pythagoras’ theorem, determine the value of x.(a) (b)
(c) (d)
8. Calculate the values of k, l, m and n correct to one decimal place.(a) (b)
(c) (d)
9.
In the diagram, W lies on the line TU such that TW = 6 cm. Find(a) the length of VW,(b) the length of UW.
© Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR3
Review Exercise 18
10.
In the diagram, D lies on AB. Calculate(a) the length of CD,(b) the length of BD.
11.
In the diagram, XWZ is a straight line such that WY = WZ.Calculate, correct to two decimal places,(a) the length of WY,(b) the length of WX.
12.
In the diagram, M is the midpoint of KN and MXY is a straight line. Given that KX = 15 cm, MX = 10 cm and NY = 20 cm.Determine, correct to one decimal place,(a) the length of MN,(b) the length of XY.
© Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR4
Review Exercise 18
13.
In the diagram, E is the midpoint of AB. If BC = 7 cm, AC = 11 cm and DE = 4 cm, calculate, correct to two decimal places,(a) the length of AB,(b) the length of AD.
14.
The diagram shows a ladder with a height of h cm. Calculate the value of h correct to one decimal place.
15.
The diagram shows a balloon that is held to the ground by two strings AC and BC. The balloon is at a height of 35 m from the horizontal line AB.Calculate the distance AB correct to the nearest metre.
© Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR5
Review Exercise 18
16. Determine whether each of the following triangles is a right-angle triangle.(a) (b)
(c) (d)
17. Determine whether the following objects form a right-angled triangle.(a) (b)
(c) (d)
18.
In the diagram, D lies on the line BC and BD = 3 cm. Determine whether BAC is a right angle.
© Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR6
Review Exercise 18
19.
In the diagram, PQR is a right-angled triangle.(a) Calculate the length of QR.(b) Determine whether QSR is a right-angled triangle.
20.
The diagram shows a rectangle ABCD. F is the midpoint of CD and CE = 3 cm.(a) Calculate
(i) the length of AE,(ii) the length of AF,(iii) the length of EF.
(b) Determine whether AEF is a right-angled triangle.
© Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR7