How do you prove the area of Triangle A is congruent to Triangle B in this trapezoidAttachment 21679?

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- June 16th 2011, 09:25 PMAquameatwadArea of Triangles in Trapezoid
How do you prove the area of Triangle A is congruent to Triangle B in this trapezoidAttachment 21679?

- June 16th 2011, 09:27 PMProve ItRe: Area of Triangles in Trapezoid
- June 16th 2011, 09:30 PMAquameatwadRe: Area of Triangles in Trapezoid
No i don't have lengths. It is supposed to apply to any trapezoid. Now i found this link Trapezoid -- from Wolfram MathWorld which gives formulas as to why the areas are equal. But i don't understand why.

- June 16th 2011, 11:11 PMBAdhiRe: Area of Triangles in Trapezoid
- June 17th 2011, 05:32 AMAquameatwadRe: Area of Triangles in Trapezoid
You are right badhi. So i guess the question is why do they have the same area?

- June 17th 2011, 06:01 AMSorobanRe: Area of Triangles in Trapezoid
Hello, Aquameatwad!

Quote:

How do you prove the area of Triangle A is equal to Triangle B in this trapezoid?

Code:`P Q`

- *-------*

: * * * *

: * A * * B *

: * * * *

h * * * *

: * * C * *

: * * * *

: ** **

- *-------------------------------*

S R

. . . . . . . . . .

- June 17th 2011, 06:18 AMAquameatwadRe: Area of Triangles in Trapezoid
Wow Soroban its that simple? I was trying to prove it by somehow by showing Triangle C was congruent to the Triangle with base PQ ( i guess we can call it D). which it is. Could i have used this information to prove A=B?