9. In Fig. 12.33, the area of the triangle ABC = 7.2 cm",
CM = MB, and AL = 2 LB. Find the area of the
triangle ALM.
(SC)
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9. In Fig. 12.33, the area of the triangle ABC = 7.2 cm",
CM = MB, and AL = 2 LB. Find the area of the
triangle ALM.
(SC)
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Verified answer
Answer:
The area of triangle ALM is
[tex]1.8cm {}^{2} [/tex]
...
Step-by-step explanation:
As AM is the median of the triangle ABC, it divides the triangle into 2 triangles of equal areas...
Therefore, area of triangle ABM=
[tex]7.2 \div 2 = 3.6cm {}^{2} [/tex]
In triangle ABM,LM is the median and thus divides the triangle in 2 equal parts...
Therefore,area of triangle ALM=
[tex]3.6 \div 2 = 1.8cm { }^{2} [/tex]
Answer is 1.8cm^2
As Am is median of triangle ABC ,it divides triangle in 2 triangles of equal areas .
Therefore, area of triangle ABM = 7.2/2 => 3.6cm^2
In triangle ABM,LM is median and thus divide the triangle in 2 equal parts .
Therefore , Area of triangle ALM => 3.6/2 = 1.8 cm ^2
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