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Question
In the given figure, X is a point in the interior of square ABCD. AXYZ is also a square. If DY = 3 cm and AZ = 2 cm, then BY =
Options
5 cm
6 cm
7 cm
8 cm
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Solution
In the following figure we are given
DY = 3cm
AZ = 2cm
Where ABCD is a square and AXYZ is also a square
We are asked to find BY
From the above figure we have XY=YZ=AZ=AX
Now in the given figure
DZ = DY + YZ
= 3+2
= 5cm
So,
`AD = sqrt(DZ^2 + AZ^2)`
` = sqrt(25 + 4)`
` = sqrt 29 cm`
Now inn triangle ΔAXB
`BX = sqrt(AB^2 - AX^2)`
` = sqrt(29 - 4)`
= 5cm
So
BY = XY + BX
= 2 + 5
= 7 cm
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