in the given figure d is the midpoint of bc and l is the midpoint of ad if ar (triangle ABL) = x ar ( triangle ABC) whart is the value of x?
(A) 2
(B)1/2
(C)1/4
(D)4
Answers
Answered by
6
Answer
In △ABC, AD is the median
∴ ar(△ABD) = 1/2 ar(△ABC)
Again, △ABD BL is the median
∴ ar(△ABL) = 1/2 ar(△ABD)
= 1/2 × 1/2 ar((△ABC)
= 1/4 ar((△ABC)
Hence, value of x is 1/4.
Hope it helps you
In △ABC, AD is the median
∴ ar(△ABD) = 1/2 ar(△ABC)
Again, △ABD BL is the median
∴ ar(△ABL) = 1/2 ar(△ABD)
= 1/2 × 1/2 ar((△ABC)
= 1/4 ar((△ABC)
Hence, value of x is 1/4.
Hope it helps you
Similar questions