Advertisements
Advertisements
प्रश्न
What is the area of the triangle formed by the points O (0, 0), A (6, 0) and B (0, 4)?
Advertisements
उत्तर
The given triangle ΔOAB is a right angled triangle, right angled at O. the co-ordinates of the vertices are O (0, 0) A (6, 0) and B (0, 4).
So,
Altitude is 6 units and base is 4 units.
Therefore,
ar ( ΔOAB ) = `1/2` (Base )( Altitude )
`= 1/2 `( 4 ) ( 6 ) sq . units
= 12 sq . units
APPEARS IN
संबंधित प्रश्न
On which axis do the following points lie?
S(0,5)
Find the coordinates of the point where the diagonals of the parallelogram formed by joining the points (-2, -1), (1, 0), (4, 3) and(1, 2) meet
If the points p (x , y) is point equidistant from the points A (5,1)and B ( -1,5) , Prove that 3x=2y
Find the coordinates of the midpoints of the line segment joining
P(-11,-8) and Q(8,-2)
Find the area of quadrilateral PQRS whose vertices are P(-5, -3), Q(-4,-6),R(2, -3) and S(1,2).
Show that the points (−2, 3), (8, 3) and (6, 7) are the vertices of a right triangle ?
Point P(x, 4) lies on the line segment joining the points A(−5, 8) and B(4, −10). Find the ratio in which point P divides the line segment AB. Also find the value of x.
Find the area of the quadrilateral ABCD, whose vertices are A(−3, −1), B (−2, −4), C(4, − 1) and D (3, 4).
The ordinate of any point on x-axis is
Show that A (−3, 2), B (−5, −5), C (2,−3), and D (4, 4) are the vertices of a rhombus.
Find the area of a parallelogram ABCD if three of its vertices are A(2, 4), B(2 + \[\sqrt{3}\] , 5) and C(2, 6).
What is the distance between the points (5 sin 60°, 0) and (0, 5 sin 30°)?
If the centroid of the triangle formed by the points (a, b), (b, c) and (c, a) is at the origin, then a3 + b3 + c3 =
The distance of the point (4, 7) from the y-axis is
If P(2, 4), Q(0, 3), R(3, 6) and S(5, y) are the vertices of a parallelogram PQRS, then the value of y is
What is the form of co-ordinates of a point on the X-axis?
In which quadrant does the point (-4, -3) lie?
The line segment joining the points A(2, 1) and B (5, - 8) is trisected at the points P and Q such that P is nearer to A. If P also lies on the line given by 2x - y + k= 0 find the value of k.
If the sum of X-coordinates of the vertices of a triangle is 12 and the sum of Y-coordinates is 9, then the coordinates of centroid are ______
Find the coordinates of the point of intersection of the graph of the equation x = 2 and y = – 3
