Q. 114.3( 23 Votes )
Prove that, if a
Let a ∆ABC in which a line DE parallel to BC intersects AB at D and AC at E.
To prove DE divides the two sides in the same ratio.
Construction join BE, CD and draw EF ⊥ AB and DG ⊥ AC.
[ area of triangle = × base × height]
∆BDE and ∆DEC lie between the same parallel DE and BC and on the same base DE.
So, area (∆BDE) = area(∆DEC) …..(iii)
From Equation (i), (ii) and (iii),
AD/DB = AE/EC
Rate this question :
In Fig. 4.243, thRD Sharma - Mathematics
In Fig. 4.246, ifRD Sharma - Mathematics
In Fig. 4.244, ifRD Sharma - Mathematics
If in <imgRD Sharma - Mathematics
In a <img wRD Sharma - Mathematics
In <img widRD Sharma - Mathematics