A) 5
B) 3
C) \[\sqrt{34}\]
D) 4
Correct Answer: C
Solution :
Let the fourth vertex of a rectangle be \[C\,\,({{x}_{1}},{{y}_{1}})\] The length of the diagonal AB = Distance between the points A (0, 3) and B (5, 0) Here, \[{{x}_{1}}=0,\]\[{{y}_{1}}=3\] and \[{{x}_{2}}=5,\]\[{{y}_{2}}=0\] \[d=\sqrt{{{({{x}_{2}}-{{x}_{1}})}^{2}}+{{({{y}_{2}}-{{y}_{1}})}^{2}}}\] \[=\sqrt{{{(5-0)}^{2}}+{{(0-3)}^{2}}}=\sqrt{25+9}=\sqrt{34}\]You need to login to perform this action.
You will be redirected in
3 sec