Asked by DenisGylaev
$M$ is the midpoint of $\overline{AB}$ and $N$ is the midpoint of $\overline{AC}$, and $T$ is the intersection of $\overline{BN}$ and $\overline{CM}$, as shown. If $\overline{BN}\perp\overline{AC}$, $BN = 12$, and $AC = 14$, then find $CT$.
Answers
Answered by
AoPS
DONT ASK QUESTIONS ASSIGNED IN CLASS
Answered by
Istumbled
Hey, helpful hint- use the 2:1 ratio!
And true, don’t post your hw problems
And true, don’t post your hw problems
Answered by
jeffbodman
dont post these pls
Answered by
ILoveMathAndILoveHelping
Using 2:1 ratios for medians of a triangle:
Line Segment NT is 4
Since we know line segment AC is 14 and n is the midpoint, line segment NC is 7.
Using Pythagorean theorem
7^2+4^2=x^2
49+16=x^2
x=Square root of 65
Line Segment NT is 4
Since we know line segment AC is 14 and n is the midpoint, line segment NC is 7.
Using Pythagorean theorem
7^2+4^2=x^2
49+16=x^2
x=Square root of 65
Answered by
DenisGylaev
THANK YOU FOR TELLING ME THIS. I GOT THE NOTIFICATION THAT SOMEONE ANSWERED MY QUESTION 4 YEARS LATER. U JUST GAVE ME NOSTALGIA. <3 ILoveMathAndILoveHelping
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.