Mathematics
In a right-angled triangle, if hypotenuse is 20 cm and the ratio of the other sides is 4 : 3, find the sides.
Pythagoras Theorem
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Answer
Ratio of other two sides = 4 : 3
Let other sides be 4x cm and 3x cm.
By pythagoras theorem,
⇒ 202 = (4x)2 + (3x)2
⇒ 400 = 16x2 + 9x2
⇒ 400 = 25x2
⇒ x2 =
⇒ x2 = 16
⇒ x = 4
Sides ⇒ 4x = 16 cm and 3x = 12 cm.
Hence, the sides are 12 cm and 16 cm.
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