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



A ) 8.2
B ) 6.4
C ) 9.5
D ) 7.8

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.
p2 = 52 + 62
 [Pythagoras′ theorem]

3 p2 = 25 + 36 = 61
 [52 = 25 and 62 = 36]

4 p = 61
 [Take square root on both sides.]

5 Hence, p = 7.8



Hence the right answer is Option D

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