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The altitude of a triangle is 30 cm and its base is 80 cm. Find the area of the trapezoid formed by a line parallel to the base of the triangle and is 12 cm from the vertex.
Help please, I really have no idea. Can you show it with illustrations, thanks! :)
Hello, reiward!
Quote:
The altitude of a triangle is 30 cm and its base is 80 cm.
Find the area of the trapezoid formed by a line
parallel to the base of the triangle and is 12 cm from the vertex.
The area of a trapezoid is: .Code:B
- *
: *| *
: * | *
: * |12 *
: * | *
30 D *----+---------* E
: * | *
: * | *
: * |18 *
: * | *
- A *---------*-------------------* C
: - - - - - - 80- - - - - - - :
. . whereis the altitude and
are the lengths of the parallel sides.
We already know: .
. . We need: .
Since
Therefore: .
