Pythagoras Theorem

1. PYTHAGORAS THEOREM SET 1 MODE : HOTS
Nama Pelajar: Kelas Markah :
Answer all the questions.
1 The diagram shows a rectangle.
16 cm
p cm
J K
M L
Given that the length of the diagonal of the following rectangular JKLM is 34 cm, find
the value p.
[3 marks]
2 Sam and Sally start cycling from point x. Sam cycles 1.2 km due south to reach point x
and continue cycling 1.6 km to east and reach point z while Sally cycles to point z. Find
the total distance from point x to point z.
[3 marks]
3 In the diagram, ABCD is a trapezium.
8 cm
15 cm
9 cmA B
E
CD
Given that AB = AD, find the area, in cm2
, of the shaded region.
[3 marks]
4
17 cm
15 cm
3 cm
10 cm
Q
R S
TU P
In the diagram above, PQRS is a trapezium and RSTU is a rectangle. Find the perimeter
of the trapezium in cm
[3 marks]
5 In the following diagram. QRS is a straight line. Find the area of triangle PQS.
13 cm
15 cm
9 cm
P
Q R S
[3 marks]
1

2. 6 The diagram shows a rectangle with 30 cm length and 24 cm width.
24 cm
30 cm
Given the area of the non-shaded part is = 96 cm2
. Find the perimeter of the shaded part,
in cm
[3 marks]
7 The diagram shows a square ABCE and a triangle CDE.
8 cm
6 cm
A E
D
CB
Find the area of square ABCE, in cm2
in the following diagram.
[3 marks]
8 The diagram shows a triangle.
24 cm
3 cm
P
R
Q
S
Find, in cm2
the area of triangle QSR.
[3 marks]
9 The diagram shows an isosceles triangle.
12 cm
10 cm
A
C
B
Find its perimeter, in cm.
[3 marks]
10 Find the length of its diagonal, in cm, if given that a rectangle has a length and width of
length
= 112 cm
width = 12 cm
2