1
Question
Given below are the lengths of the sides forming the right angles of some triangles. Find out the length of the hypotenuse of each triangle.
(1) 24, 10
(1) 24, 10
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Solution
Sides forming the right angle are 24, 10
By Pythagoras theorem,
(Hypotenuse)2 = (side one)2 + (side two)2
⇒ (Hypotenuse)2 = (24)2 + (10)2
⇒ (Hypotenuse)2 = 576 + 100
⇒ (Hypotenuse)2 = 676
⇒ (Hypotenuse)2 = (26)2
⇒ Hypotenuse = 26
By Pythagoras theorem,
(Hypotenuse)2 = (side one)2 + (side two)2
⇒ (Hypotenuse)2 = (24)2 + (10)2
⇒ (Hypotenuse)2 = 576 + 100
⇒ (Hypotenuse)2 = 676
⇒ (Hypotenuse)2 = (26)2
⇒ Hypotenuse = 26
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