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09 Mar 2023, 09:45
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Difficulty:
25%
(medium)
Question Stats:
78% (01:52) correct
22%
(01:59)
wrong
based on 54
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Note: Figure not drawn to scale
What is the area of triangle MNO in the figure above?
A. \(3\)
B. \(6\)
C. \(4 \sqrt{2} + 2 \sqrt{5} \)
D. \(2 \sqrt{10} \)
E. \(6 \sqrt{10}\)
Attachment:
2.jpg [ 15.75 KiB | Viewed 2819 times ]
01 Apr 2023, 13:45
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Bunuel
One way to solve this question would be to find the length of each side of the triangle and then find the area.
An alternative way is to imagine the triangle enclosed in a rectangle RPQN as shown below.
We can then subtract the area of \(\triangle POM\), \(\triangle RMN\), and \(\triangle OQN\) from the enclosed area of the rectangle RPQN.
Area of the rectangle = l * b = 4 * 3 = 12 sq. units
The total area of the triangles = 9 sq. units.
Area of \(\triangle MON\) = 12 - 9 = 3 sq. units
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Screenshot 2023-04-02 020330.jpg [ 95.06 KiB | Viewed 1440 times ]
