Find the area of the Trapezoid?

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- anonymous

Find the area of the Trapezoid?

- jamiebookeater

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- anonymous

##### 1 Attachment

- anonymous

A=(_√_) divided by _

- anonymous

@Hero help?

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- anonymous

@lgbasallote help?

- lgbasallote

|dw:1348069206419:dw|
do you know how to find x?

- anonymous

Ah i believe so.

- anonymous

Actually i am brain frozen and cannot remember the formula.
Can you tell me the formula please?

- tyteen4a03

The formula for tan x is opp/adj. The formula for finding the area of a trapezoid is ((upper length + lower length) * height)/2.

- anonymous

Finding X in his above drawing would give me the height so i could than find the area.

- anonymous

But I do not remember how to find it.
I have never used tan or sin before.

- anonymous

|dw:1348069912936:dw|

- anonymous

- tyteen4a03

Were you taught trigonometry (sin, cos, tan) in your math lessons?

- anonymous

I am only in Geometry, so not yet.

- tyteen4a03

This question involves trigonometry... I will just give you a crash course.
For the triangle |dw:1348070256213:dw| (do notice that these formulas only work on triangles with a right angle), we pick a angle that is not the right angle itself. This time, I pick

- anonymous

Ok

- tyteen4a03

uh... I meant @Igbasallote asked you to solve. Here, tan\(\theta\) = x/3 (opposite/adjacent). Multiply both sides by 3, and get 3 tan\(\theta\) = x. It also specified that the angle is 60 degrees. I'll give you the answer here: tan 60degrees = \(\sqrt{3}\). Now multiply the answer by 3, and the answer becomes \(3\sqrt{3}\).
Congrats, you just learnt pieces your classmates might've never learned. However, I suggest telling your teacher that you haven't learned trigonometry yet so he/she will not give you these kind of questions.

- tyteen4a03

(Just that if you're curious how I pulled tan 60degrees out of the air, 60 degrees is actually a special angle. You can find the values of trigonometry function on special angles here: http://www.mathwords.com/t/trig_values_of_special_angles.htm )

- anonymous

Okay i think i got it.
Yes i know the triangle ratio 30-60-90

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