Do sides 7 cm, 24 cm, 25 cm form a right angled triangle? Give reason.
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Step-by-step explanation:
The sides of the triangle are 7 cm, 24 cm and 25 cm. The longest side of the triangle is 25 cm. ∴ (25)2 = 625 Now, sum of the squares of the remaining sides is, (7)2 + (24)2 = 49 + 576 = 625 ∴ (25)2 = (7)2 + (24)2 ∴ Square of the longest side is equal to the sum of the squares of the remaining two sides. ∴ The given sides will form a right-angled triangle.
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Answer:
25 square = 625----------(1)
7 square + 24 square = 49 + 576
7 square + 24 square = 625 -----------(2)
from (1) &(2)
25 square = 7 square + 24 square
(7, 24,25) is a Pythagorean triplet
they from a right angle triangle
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