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Question: Find the length of the unknown side, correct to 1 decimal place if necessary.
A ) 6.3 cm
B ) 4.5 cm
C ) 3.8 cm
D ) 5.5 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.
t
2
= 2
2
+ 6
2
[Pythagoras′ theorem]
3
t
2
= 4 + 36 = 40
[2
2
= 4 and 6
2
= 36]
4
t
=
4
0
[Take square root on both sides.]
5
Hence,
t
= 6.3 cm
Hence the right answer is Option A
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