| Direction: Q. 21 to 25 |
| Soniya and her father went to meet her friend Ruhi for a party. When they reached Ruhi's place, Soniya saw the roof of the house, which is triangular in shape. She imagined the dimensions of the roof as given in the figure. |
 s |
| Based on the above information, give the answer of the following questions: |
A) \[2m\]
B) \[3m\]
C) \[4m\]
D) \[6m\]
Correct Answer: D
Solution :
| We have, \[AB=BC=6\sqrt{2}m\]and \[AC=12m\] |
| D is mid point of AC. |
| \[\therefore \,\,\,\,\,\,\,\,\,AD=DC=6m\] |
| Now, \[A{{B}^{2}}=B{{D}^{2}}+A{{D}^{2}}\] (\[\Delta ABD\] is a right triangle) |
| \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,B{{D}^{2}}={{(6\sqrt{2})}^{2}}-{{6}^{2}}\] |
| \[=72-36=36\] |
| \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,BD=6m\] ..(1) |
| So, option [d] is correct. |
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