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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 = - Mathematics

MCQ

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

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 12 Congruent Triangles
Q 19 | Page 87
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