Let P(11, 7), Q(13.9, 4) an dR(9.5, 4) b...

Let P(11, 7), Q(13.9, 4) an dR(9.5, 4) be the mid points of the sides AB, BC and AC respectively of `triangleABC`. Find the coordinates of the vertices A, B, and C. Hence find the area of `triangleABC` and compare this with area of `trianglePQR`.

Topper's Solved these Questions

CO-ORDINATE GEOMETRY
PREMIERS PUBLISHERS|Exercise Exercise 5.2|18 Videos
CO-ORDINATE GEOMETRY
PREMIERS PUBLISHERS|Exercise Exercise 5.3|22 Videos
ALGEBRA
PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS (Match the following)|4 Videos
GEOMETRY
PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS|22 Videos

Similar Questions

Explore conceptually related problems

If (1,4) is the centroid of a triangle and the coordinates of its any two vertices are (4,-8) and (-9,7), find the area of the triangle.

If the coordinates of two points A and B are (3,4) and (5,-2) respectively . Find the coordinates of any point 'c' , if AC =BC and area of triangle ABC =10 sq. units.

If the coordinate of the mid - point of the sides AB, BC and CA of a trinagle are (3,4) (1,1) and (2,-3) respectively , then the vertice A and B of the triangle are .

Find the equation of the median and altitude of triangleABC through A where the vertices are A(6, 2), B(-5, -1) and C(1, 9) .

Given a quadrilateral ABCD with vertices A(-3,-8),B(6,-6),C(4,2) and D(-8,2). Find the area of triangleABC .

Given a quadrilateral ABCD with vertices A(-3,-8),B(6,-6),C(4,2) and D(-8,2). Calculate area of triangleABC + area of triangleACD

D, E, F are mid points of sides BC, CA, AB of Delta ABC . Find the ratio of areas of Delta DEF and Delta ABC .

Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A(2, 0) , B (4, 5) and C(6, 3).

If the middle points of the sides B C ,C A , and A B of triangle A B C are (1,3),(5,7), and (-5,7), respectively, then find the equation of the side A Bdot

PREMIERS PUBLISHERS-CO-ORDINATE GEOMETRY -Other Important Objective

Let P(11, 7), Q(13.9, 4) an dR(9.5, 4) be the mid points of the sides ...
Text Solution
|
The area of the triangle formed by the points (0,0),(3,0) and (0,4) ...
Text Solution
|
The line y=k is
Text Solution
|
If the points (7,-2) (3,-6) and (5,k) are collinear then the value of ...
Text Solution
|
The line 5x-2y=11 and 2x+3y=12 intersect at :
Text Solution
|
The slope of the line 3x+2y-7=0 is :
Text Solution
|
The slope of the line joining (-2,-1) and (-5,8) is :
Text Solution
|
If A is (-7,2) and B is (2,-3) then the slope of the line perpendicula...
Text Solution
|
The equation of line through (2,1) and parallel to x+2y=5 is :
Text Solution
|
The equation of a line through origin and perpendicular to the line ...
Text Solution
|
The vertices of a triangleABC are (1,4)(3,5) and (-1,0) then its centr...
Text Solution
|
The area of the triangle ABC whose vertices are (2,1) (-3,4) (6,2) is...
Text Solution
|
If P(-1,2) , Q(k,-2) , R(7,4) are the vertices of trianglePQR whose ar...
Text Solution
|
Given that the points (-4,-1) (a,b) and (-2,5) are collinear and if ...
Text Solution
|
If (9,a) (3,2) (4,-1) are the vertices of a triangleABC whose area is...
Text Solution
|
The equation of a straight line whose x intercept is 3 and y intercept...
Text Solution
|
The equation of the line with slope 1/2 and passing through origin i...
Text Solution
|
The equation of any straight line parallel to y-axis and passing thro...
Text Solution
|
The equation of the line whose inclination is 45^@ and x-intercept 7 ...
Text Solution
|
The equation of a line through (-2,3) and where slope is 1/3 is give...
Text Solution
|
Equation of the line joining (6,10) and (14,12) is :
Text Solution
|