Question: Find the length of the unknown side, correct to 1 decimal place if necessary.
A ) 3.8
B ) 4.6
C ) 5.7
D ) 6.9
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.
72 = 42 + k2
[Pythagoras′ theorem]
3 49 = 16 + k2
[72 = 49 and 42 = 16]
4 49 - 16 = k2
[Subtract 16 on both the sides.]
5 k2 = 33
6 k = 33 = 5.7
[Take square root on both sides.]
7 Hence, k = 5.7
Hence the right answer is Option C
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