Question

Quick Geometry Question

Answer 1

recall for the 45-45-90 triangles, the two legs are the same, and the diagonal is root(2) times the leg.

Answer 2

so the answer would be 14ft?

Answer 3

or you can see, sin(45)=14/BC
\[\sin(45) = \frac{ \sqrt{2} }{ 2 }=\frac{ 14 }{ BC }\]

Answer 4

no,the diagonal is root(2) times the leg length
BC=\[14\sqrt{2}\]

Answer 5

ah okay sorry

Answer 6

how did you get the square root though?

Answer 7

You can just remember for the 45-45-90 triangle, the two legs are the same length, and the diagonal is root(2) times the leg length.
or
if you look at one of the trig functions, sin(45) and cos(45) both are root(2)/2 and the opposite side over the hypotenuse

\[\sin(45)=\frac{ \sqrt{2} }{ 2 }=\frac{ 14 }{ BC }\]

Answer 8

oh okay whoops

Answer 9

thank you so much you were a big help!

Answer 10

welcome