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13.1 The Pythagoras’ Theorem
What is a hypotenuse?
LEARNING
STANDARDS
Identify and define
the hypotenuse of a
right-angled triangle.
We are often told about the size of the monitor screen of a computer as 19 inches,
21 inches or 24 inches and so forth. The size is measured according to the length of the
monitor diagonally. What is the relationship between the size of the monitor screen and
the length and width of the monitor screen?
1 Group
Aim: To identify the hypotenuse of a right-angled triangle.
Instruction: • Perform the activity in groups of four.
• Open the folder downloaded from page vii.
1. Open the file Hypotenuse.ggb using GeoGebra.
The screen displayed shows a right-angled triangle
with the length of each side.
2. Identify and record the longest side.
3. Click and drag points A, B or C to change the
shape of the triangle and repeat the exploration in
Step 2.
4. Discuss your findings with your friends.
From the results of Exploration Activity 1, it is found that the longest side of a right-
angled triangle is always the side opposite to the right angle.
The longest side opposite to the right angle is known as the hypotenuse of the right-
angled triangle.
CHAPTER
13
a
95°
a
Discuss with your friends and explain why the side labelled as a is not the hypotenuse.
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