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Equation of a Line Perpendicular to a Given Line

in triangle A...

Question

in triangle ABC,AD is a median.If the coordinates of vertices A,B and C are respectively (3,-1),(1,2) and (3,-4),then the length of AD is:- (1) \sqrt3 units (2)\sqrt2 units (3)1 unit (4)2 units

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△ A B C

A (2, a), B (3, b) & C (3, c)

4

units down and gets translated to

△ A^{'} B^{'} C^{'}

A^{'} (2, - 2), B^{'} (3, - 1) & C^{'} (3, - 3)

a + b + c

△ A B C

D E | | B C

\frac{A D}{D B} = \frac{2}{3}

.
Find the length of

E C

, if the length of

A E

Q. In a triangle

A B C

, coordinates of

A

(1, 2)

and the equations of the medians through

B

C

x + y = 5

x = 4

respectively,Then area of

△ A B C

(in sq. units) is

Q. In a triangle

A B C

, coordinates of

A

(1, 2)

and the equations of the medians through

B

C

are respectively,

x + y = 5

x = 4

△ A B C

(in sq. units) is :

Q. The position vectors of the vertices

A, B

C

of a tetrahedron are

(1, 1, 1),

(1, 0, 0)

(3, 0, 0)

respectively. The altitude from the vertex

D

to the opposite face

A B C

meets the median line through

A

Δ A B C

E .

If the length of side

A D

4

units and volume of the tetrahedron is

\frac{2 \sqrt{2}}{3}

cubic units, then the CORRECT statement(s) is (are)

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