Very useful question that tests your knowledge of height in an acute and obtuse triangle using a graph.
The 2nd statement according to me is quite self explanatory however for the first statement -
The easiest way to approach this question would be to use to think of the triangles in terms of obtuse and acute triangles.
The 2 triangles we obtain are case 1 => x = -10 (obtuse) and case 2 => x=10 (acute). For an acute triangle the height is always inside the triangle whereas for an obtuse triangle it always outside the triangle. The moment we drop the height for the triangles we observe that in both the cases the height is 10 and the base (the red segment on @bunuels explanation is the base for both the triangles). Since the base remains the same and so does the height we get the same area for the both the points of x i.e, -10 and 10.
The 2nd statement according to me is quite self explanatory however for the first statement -
The easiest way to approach this question would be to use to think of the triangles in terms of obtuse and acute triangles.
The 2 triangles we obtain are case 1 => x = -10 (obtuse) and case 2 => x=10 (acute). For an acute triangle the height is always inside the triangle whereas for an obtuse triangle it always outside the triangle. The moment we drop the height for the triangles we observe that in both the cases the height is 10 and the base (the red segment on @bunuels explanation is the base for both the triangles). Since the base remains the same and so does the height we get the same area for the both the points of x i.e, -10 and 10.
Statistics : Posted by kop18 • on 16 Sep 2014, 00:13 • Replies 15 • Views 125938
