Math, asked by akash9817, 1 year ago

why area of triangle is 1/2base×height

Answers

Answered by ansh258
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


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Answered by arsh2006india
0

because base *height is the area of parallelogram and if we draw the diagonal then the are would be 1/2*base *height


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