Please enter valid Mobile number. Select Class Please select the class. Forgot Password? OTP has been re-sent. OTP has been sent to your mobile. Finding exercises tough? Install the app to watch our videos and get a crystal clear understanding of concepts Install Now. Mahathi shastry Jan 7, Prove that the points 4, 5 7, 6 4, 3 1, 2 are the vertices of a parallelogram. Let the points 4, 5 7, 6 4, 3 1, 2 represent the points A, B, C and D. Also the diagonals are unequal. Therefore, the given points form a parallelogram.
Recommend 3 Comment 0. Parthasaradhi M Member since Apr 1, Recommend 0 Comment 0. Related Wiki. Offered for classes , LearnNext is a popular self-learning solution for students who strive for excellence. Join India's most happening Educational community. The altitude of a parallelogram is the perpendicular distance from a vertex to the opposite side base.
In the figure above select "Show Altitude" in the options menu. It will show the altitude from B to the opposite side AB. The calculate the length of an altitude, we need to find the perpendicular distance from a point to a line. In the above figure we need the distance from B to the line AD. When the chosen base side is exactly horizontal, the altitude is simply the difference is the y-coordinates of B and any point on the base, say A.
In the figure above click 'reset' and select "show altitude' in the options menu. The coordinates of B are 18,26 , so its y-coordinate is the second number, Pick a point on the base side, say A. Its y coordinate is 7. The difference between them is the altitude:. The other altitude can be found in the same way if the other sides are exactly vertical, using the x-coordinates of the corresponding points.
If the parallelogram is rotated so that no side exactly vertical or horizontal, then use any of the methods described in Distance from a point to a line. In the interest of clarity in the applet above, the coordinates are rounded off to integers and the lengths rounded to one decimal place.
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