Question: Find the length of the unknown side, correct to 3 decimals places if necessary.
A ) 4.256 cm
B ) 5.162 cm
C ) 6.428 cm
D ) 3.269 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.
[Pythagoras′ Theorem.]
3 (5.3)2 = (1.2)2 + r2
[10 mm = 1 cm → 1 mm = 110 cm
12 mm = 1210 cm = 1.2 cm]
4 28.09 = 1.44 + r2
[(5.3)2 = 28.09 and (1.2)2 = 1.44]
5 28.09 - 1.44 = r2
[Subtract 1.44 on both the sides.]
6 r2 = 26.65
7 r = 26.65
[Take square root on both sides.]
8 So, r = 5.162 cm
Hence the right answer is Option B
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