In the adjoining figure, the lines I, m and n are parallel to each other, and G is mid-
point of CD. Calculate:
(1) BG if AD = 6 cm
(ii) CF if GE = 2.3 cm
(iii) AB if BC = 2.4 cm
(iv) ED if FD = 4.4 cm.
plz ans fast......
Answers
Given : the lines I, m and n are parallel to each other, and G is mid-
point of CD
To Find : Calculate:
(1) BG if AD = 6 cm
(ii) CF if GE = 2.3 cm
(iii) AB if BC = 2.4 cm
(iv) ED if FD = 4.4 cm.
Solution:
l || m || n
=> BG || AD
in ΔCAD , BG || AD
=> B is also midpoint as G is mid point ( Using BPT)
AB = BC => AB = 2.4 cm
line joining the mid-point of two sides of a triangle is equal to half the length of the third side
=> BG = AD/2
=> BG = 6/2
=> BG = 3 cm
Similarly GE || CF
=> E is also midpoint as G is mid point ( Using BPT)
ED = FD => ED = 4.4 cm
Hence GE = CF/2
=> 2.3 = CF/2
=> CF = 4.6 cm
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