Diagonals at right angle
In the trapezoid ABCD, this is given:
AB=12cm
CD=4cm
And diagonals crossed under a right angle. What is the area of this trapezoid ABCD?
AB=12cm
CD=4cm
And diagonals crossed under a right angle. What is the area of this trapezoid ABCD?
Correct answer:
Showing 1 comment:
Math student
I don't think the solution is correct. The height is the radius if and only if the trapezoid is symmetrical. But it doesn't have to be. In fact, take a line segment of length 12 and start a 20 degree angle from one side and 70 from the other (for the diagonals). Intersect them and keep going until there is 4 long parallel line. Then increase the 20 degree angle - the height will increase and the area too.
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You need to know the following knowledge to solve this word math problem:
- geometry
- Thales' theorem
- similarity of triangles
- planimetrics
- right triangle
- area of a shape
- triangle
- trapezoid
- diagonal
- basic functions
- functions
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