Question: Find the length of the unknown side, correct to 1 decimal place if necessary.
A ) 19.8
B ) 18.5
C ) 17.2
D ) 19
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.
192 = 82 + e2
[Pythagoras′ theorem]
3 361 = 64 + e2
[192 = 361 and 82 = 64]
4 361 - 64 = e2
[Subtract 64 on both the sides.]
5 e2 = 297
6 e = 297
[Take square root on both sides.]
7 So, e = 17.2
Hence the right answer is Option C
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