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 2 years ago
In triangle BAC, AD is perpendicular to BC, AB = 6 times the square root of 2, and DC = 2BD. What is the area of triangle ADC?
 2 years ago
In triangle BAC, AD is perpendicular to BC, AB = 6 times the square root of 2, and DC = 2BD. What is the area of triangle ADC?

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pfenn1
 2 years ago
Best ResponseYou've already chosen the best response.1The interesting thing about a 454590 triangle is that if the sides are of length x, then the hypotenuse is x times the square root of 2. So for the triangle ABD, if the hypotenuse is 6 times the square root of 2, what is the length of AD and BD?

pfenn1
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1338086273824:dwTrue, but what is the value of x?

pfenn1
 2 years ago
Best ResponseYou've already chosen the best response.1Right! So can you now calculate the area of the triangle ABC?

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.0But one question, how do we know that BD and AD are congruent? ._.

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.0OH. BECAUSE IT'S AN ISOSCELES TRIANGLE BECAUSE THE BASE ANGLES ARE CONGRUENT RIGHT?! :D

pfenn1
 2 years ago
Best ResponseYou've already chosen the best response.1Remember the angles of a triangle always have to add up to 180, so 180(45+90)=45

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.0OH. SO IS THE ANSWER 54?! :D

pfenn1
 2 years ago
Best ResponseYou've already chosen the best response.1Area of a triangle =1/2 height by base\[A=\frac12(6)(12)=?\]

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.0oh right. :o i forgot it was just triangle ADC.

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.0OMG THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU :D YOU'RE A LIFESAVER. YOU HELPED ME SO MUCH X)

pfenn1
 2 years ago
Best ResponseYou've already chosen the best response.1You're very welcome. It is great to memorize the tricks of a 454590 triangle and a 306090 triangle. Nice shortcuts. This is a great website for this:http://library.thinkquest.org/20991/geo/stri.html

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.0okay, thank you SO much x)
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