A) \[3\sqrt{7}\]
B) \[7\sqrt{3}\]
C) \[\frac{10\sqrt{7}}{3}\]
D) \[\frac{7\sqrt{10}}{3}\]
Correct Answer: C
Solution :
\[AE\bot BC\] \[\therefore \]\[BE=EC=5\,\,cm\] \[AC=10\,\,cm\] \[AE=\sqrt{{{10}^{2}}-{{5}^{2}}}\] \[=\sqrt{100-25}=\sqrt{75}=5\sqrt{3}cm\] \[DE=DC-EC\] \[=\frac{2}{3}\times 10-5=\frac{5}{3}cm\] \[\therefore \] \[AD=\sqrt{{{\left( \frac{5}{3} \right)}^{2}}+{{\left( 5\sqrt{3} \right)}^{2}}}\] \[=\sqrt{\frac{25}{9}+75}=\sqrt{\frac{25+675}{9}}\] \[=\sqrt{\frac{700}{9}}=\frac{10\sqrt{7}}{3}cm\]You need to login to perform this action.
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