Write the areas of the three triangles in terms of a, b, and c.

https://courseplayer.avalearning.com/CourseFiles/Questions/835000/Pyth%20trapezoid.png

Question

Write the areas of the three triangles in terms of a, b, and c.

https://courseplayer.avalearning.com/CourseFiles/Questions/835000/Pyth%20trapezoid.png

anonymous · Answer

look at that booty ,sorry i dont know how to do this

sepeario · Answer

The bottom left triangle is $$ab/2$$, the top is $$c ^{2}/2$$ and the right one is again $$ab/2$$

sepeario · Answer

Of course using the triangle area formula, $$bh/2$$

anonymous · Answer

A.)(½)ab; (½)ab; and (½)c2
B.)ab; ab; and (½)c2
C.)(½)a2b2; (½)a2b2; and (½)c2
D.)a2+ b2; a2 + b2; and c2
 
These are the answers

sepeario · Answer

So A.

sepeario · Answer

Because ab/2 is equal to (1/2)ab

anonymous · Answer

Ok, thank you, could you help me with the second part of this question?

anonymous · Answer

You can now set the area of the trapezoid equal to the sum of the areas of the three triangles. Which of the following are steps that occur in simplifying the equality?


A.)a2 + 2ab + b2 = 2ab + c2
a2 + b2 = c2

B.)a2 + b2 = 2ab + c2
a2 + b2 - 2ab= c2

C.)a2 - 2ab + b2 = c2
a2 - b2 = c2 + 2ab

D.)(a + b)(a - b) = 2ab + c2
a2 - b2 = c2

sepeario · Answer

C.

sepeario · Answer

To be honest I don't think any of the answers are correct.

anonymous · Answer

Why not?

sepeario · Answer

Oh wait never mind. Do you know how to work out the area of a trapeziod?

sepeario · Answer

$$A=(\frac{ a+b }{ 2})*h$$

sepeario · Answer

Look it's a bit advanced actually do you already have the area of the trapezoid?