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Question: Find the length of the unknown side, correct to 1 decimal place if necessary.



A ) 10.7 cm
B ) 10.9 cm
C ) 10.6 cm
D ) 10.5 cm

Steps to derive

1 We can find the length of the unknown side of the right-angled triangle, using Pythagoras′ theorem.

2 The square of the hypotenuse is equal to the sum of the squares of the other two sides.
122 = 52 + c2
 [Pythagoras′ theorem]

3 144 = 25 + c2
 [122 = 144 and 52 = 25]

4 144 - 25 = c2
 [Subtract 25 on both the sides.]

5 c2 = 119

6 c = 119
 [Take square roots on both sides.]

7 Hence, c = 10.9 cm



Hence the right answer is Option B

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