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How many different triangles can you draw with area of 20 cm?
Lots! As long as half the length of the base times the height is 20...
Can you explain why the area of a triangle is 1 half base height while the area rectangle or a parallelogram is expressed as base height?
If you draw a diagonal in a rectangle you get two equal triangles, each half the area of the rectangle. Area of rectangle is base x height, so half of that is ½ x base x height. QED
Can two triangles that are not conguent have the same base and height?
Yes. Draw a triangle, then draw line through the top vertex that's parallel to the base. Now draw another point anywhere on that line, and draw sides that meet the edges of the base and the new point you've drawn. No matter where that point is on your line, you haven't changed the height, and you haven't changed the base, but the angles of the triangle have changed. Therefore, the two aren't congruent.
How do you find the area of the triangles if you only have the base and the height?
area =1/2 base length x height
The area of a triangle is found by multiplying the length of its base by its height?
No, a triangles area is calculated from base x height / 2
