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In a ABC , If L and M are points on A...

In a ` ABC ,` If `L and M` are points on `AB and A C` respectively such that `LM B Cdot` Prove that: `ar ( ABM)=ar ( ACL)`

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`"Given"`
`In /_\ABC`
`"L is midpoint of AB"`
`"M is midpoint of AC"`
`"LM is parallel to BC"`
`therefore "the area of "/_\" on the same base and between the same parallel lines are equal "`
`here," LM and BC are parallel"`
`LM " is the common base"`
...
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RD SHARMA-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
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  2. The side A B of a parallelogram A B C D is produced to any point Pdot ...

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  3. In a ABC , If L and M are points on AB and A C respectively such...

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  4. D is the mid-point of side B C of A B C and E is the mid-point of B D...

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  5. D and E are two points on BC such that BD = DE = EC. Show that ar (ABD...

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  6. A villager Itwari has a plot of land of the shape of a quadrilateral...

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  7. In parallelogram A B C D ,A B=10c mdot The altitudes corresponding to ...

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  8. D, E, F are the mid points of side AB, BC, AC prove that BDEF is a pa...

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  9. Prove that If the medians of a A B C intersect at G , show that a r( ...

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  10. Prove that the area of an equilateral triangle is equal to (sqrt(3))...

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  11. In a parallelogram A B C D ,E ,F are any two points on the sides A B a...

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  12. The diagonals of a parallelogram A B C D intersect at Odot A line thro...

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  13. Show that the segment joining the mid-points of a pair of opposite s...

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  14. Diagonals A C and B D of a trapezium A B C D with A B C D intersect e...

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  15. In Figure, A B C D is a quadrilateral and B E|A C and also B E meets D...

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  16. Prove that If a triangle and a parallelogram are on the same base and ...

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  17. In Figure, A B C D E is a pentagon. A line through B parallel to A C m...

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  18. The area of a parallelogram is the product of its base and the corre...

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  19. Prove that Parallelograms on the same base and between the same parall...

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  20. A diagonal of a parallelogram divides it into two triangles of equal...

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