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Question
Which of the following sets of triangles could be the lengths of the sides of a right-angled triangle?
Options
3 cm, 4 cm, 6 cm
9 cm, 16 cm, 26 cm
1.5 cm, 3.6 cm, 3.9 cm
7 cm, 24 cm, 26 cm
Solution
1.5 cm, 3.6 cm, 3.9 cm
Explanation:
From the Pythagoras theorem,
Hypotenuse2 = Base2 + Height2
Consider 3.9 cm is the length of hypotenuse
(3.9)2 = (1.5)2 + (3.6)2
15.21 = 2.25 + 12.96
15.21 = 15.21
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