Thread: Area Of Trapezium

1. Area Of Trapezium

Two parallel sides DC & AB of a trapezium are 12 cm & 36 cm respectively. If the non-parallel sides are each equal to 15 cm, how do I find the area of the trapezium?

Thanks,

Ron

2. draw perpendicular lines from D and C to the line AB you'll find them equal, then find the length of those drawn lines by using the right angle triangle which was created by the drawn line(s).

3. Suppose the perpendicular lines drawn from D & C to AB meet AB at E & F respectively. Then EF is 12 cm but how much is AE & BF? I need AE or BF to find DE or CF & then use pythagoras theorem.

Thanks,

Ron

4. The shorter base, from D to C, is 12 cm long. The distance between the bases of those two perpendiculars (lets call them E and F) is also 12 cm. That means the two pieces outside E and F total 36- 12= 24 cm. And looking at the right triangles formed at the ends by those perpendicular, "HL" tells you the two pieces are each length 12. Now, use the Pythagorean theorem.

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