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Question
The sides of a triangle are 12,35 and 37. Determine whether it is a right-angled triangle .
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Solution
The sides of the triangle are 12 units , 35 units and 37 units.
The longest side is 37 units .
(37)2 = 1369 ...(1)
Now, we will calculate the sum of the squares of other two sides .
(12)2 + (35)2 = 144+1225 = 1369 ....(2)
From equations (1) and (2), we get:
(37)2 = (12)2 + (35)2
Thus, these are the sides of a right-angled triangle by the converse of Pythagoras' Theorem.
The longest side is 37 units .
(37)2 = 1369 ...(1)
Now, we will calculate the sum of the squares of other two sides .
(12)2 + (35)2 = 144+1225 = 1369 ....(2)
From equations (1) and (2), we get:
(37)2 = (12)2 + (35)2
Thus, these are the sides of a right-angled triangle by the converse of Pythagoras' Theorem.
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