Asked by Allie

In ΔABC, m∠ACB = 90°, and m∠ACD = 45°. Find:AC, if CD =6√2 in.

can u put answer and solution
Answered by Steve
note that in a 45-45-90 right triangle, the sides are in the ratios 1:1:√2

So, draw the figure, label the known side, and then you can get the others.
Answered by allie
so the answer is 6?
Answered by Max
100% sure the answer isn't 6. Though I am struggling with this also, how do you find the sides when you only know the altitude?
Answered by Anonymous
Guys the altitude is equal to AD and DB.
Answered by GF
thanks, now we have no idea what the answer is.
Answered by no
actually because we know its a 45 45 90 triangle, its an isosceles triangle so we can use base angle's theorem to figure out that AD=CD=6√2
then we can use the Pythagorean theorem to find that 6√2^2+6√2^2=12
Answered by GF
still wrong
Answered by hi
she forgot some of the question CD crosses over AB
Answered by Helloo
Since CD and AC are both 6 x Square root of 2, AC would 12 because 6 Times Square root of 2 all to the power of 2 is 36 x2, which is 72, and 72 for both sides adds up to 144. Then you can find the square root of 144, so AC=12
Answered by Mr. Stevens
Actually, if we can identify the perpendicularity, we can essentially see the physicality and rigorousness required to construct a powerful and proper solution that will satisfy the problem requirements. first, we need to construct an equilibrium and cancel out unnecessary factors. This problem is Quintessential of how we can use the Morgy Theorem to solve the problem.


Hope this helps!
Answered by DIBS
The answer is 2.12
Answered by sad
1.5 times square root of 2
Answered by ok
2.12
Answered by ijkeoi
ac=12
Answered by JustCallMeYeet
answer is : sq.rt. of 18/2
Answered by ur domb
answer is 12
Answered by Monkey
Im a monkey and i know it is 12 cmon yall the answer is 12
Answered by Syskey
Its 12
Answered by Null
Yes its 12
Answered by sasha
yup its def 12
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