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Question
Which of the following can be the sides of a right triangle?
2.5 cm, 6.5 cm, 6 cm
In the case of right-angled triangles, identify the right angles.
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Solution
2.5 cm, 6.5 cm, 6 cm
(2.5)2 = 6.25
(6.5)2 = 42.25
(6)2 = 36
It can be observed that,
36 + 6.25 = 42.25
(6)2 + (2.5)2 = (6.5)2
The square of the length of one side is the sum of the squares of the lengths of the remaining two sides. Hence, these are the sides of a right-angled triangle. Right angle will be in front of the side of measure 6.5 cm.
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