Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleLength of angle bisector and median / Dist. between sp. PointsMedium2 minQB

MathematicsMediuminteger

In $△ A BC, BC = 3$ , and $D$ lies on $BC$ with $B D = 2$ . Find $A B^{2} + 2 A C^{2} - 3 A D^{2}$ .

Answer:

Solution:

Set $B = (0, 0), C = (3, 0), D = (2, 0), A = (u, v)$ . The expression is $(u^{2} + v^{2}) + 2 [(u - 3)^{2} + v^{2}] - 3 [(u - 2)^{2} + v^{2}] =$ 6.

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:Length of angle bisector and median / Dist. between sp. Points

⏱ 2mℹ️ Source: QB

Loading discussions...