Question

In triangle ABC, angle A is a right angle, and angle B is 45 degrees. Find BC if your answer is not an integer leave it in simplest form. I'll draw a pic and show the math I've done so far.

Answer 1

I know that since its a 45-90-45 degree angle I need to use the equation hypotenuse= radical 2 times the leg so I got x= radical 2 * 12

Answer 2

is angle b is 45 then angle c is 45 degrees also

Answer 3

So then I got x=radical 24 simplified to 2 radical 6 but that isnt one of my options.

Answer 4

sqrt 288

Answer 5

How did you get that

Answer 6

h^2 = a^2 + b^2
h^2 = a^2 + a^2 (isoceles triangle, 2x 45 degree angles and a right angle)
h^2 = 2(a^2) and from your drawing a = 12 ft
h^2 = 2 x (12^2)
h^2 = 2 x 144
h^2 = 288
h = sqrt 288 = length B to C

Answer 7

Oh okay. Thank you!

Answer 8

welcome