why area of triangle is 1/2base×height
Answers
Answered by
3
If we take a right angle triangle, made up of points A,B and C, with AC forming the hypotenuse, we can flip the triangle over the hypotenuse to form a rectangle (illustration below), whose area is a times h, and hence the triangle area is a⋅h2a⋅h2
1 fig
So that is pretty easy to see for a right angled triangle. What about a general triangle? The same area formula holds there as well. To see why, let us take a triangle shown in picture below. Now we can move point A in a straight line to the left until the angle formed by AB and AC becomes 90 degrees. So we have morphed the original triangle into a right angle triangle, but without changing the area.
fig 2
1 fig
So that is pretty easy to see for a right angled triangle. What about a general triangle? The same area formula holds there as well. To see why, let us take a triangle shown in picture below. Now we can move point A in a straight line to the left until the angle formed by AB and AC becomes 90 degrees. So we have morphed the original triangle into a right angle triangle, but without changing the area.
fig 2
Attachments:
Answered by
0
because base *height is the area of parallelogram and if we draw the diagonal then the are would be 1/2*base *height
Similar questions