PLEASE HELP - In triangle ABC, A is a right angle and mB = 45°. Find BC. If your answer is not an integer, leave it in simplest radical form. The figure is not drawn to scale.
Stacey Warren - Expert brainly.com
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Okay well you don't need that. Do you know how the pythagorean theorem works
Okay well if mB = 45, and mA = 90, then you can use the fact that the angles of a triangle must add up to 180 degrees to find mC
mC = 180-(90+45) = 45
Since mC = mB, triangle ABC is an isosceles triangle. So, AB = AC = 12.
Now you can use Pythagorean Theorem to find BC
AB^2 + AC^2 = BC^2
144 + 144 = BC^2
BC = 12sqrt(2)
Oh okay. See, I didn't know how to find the other side.
hmm? well does it make sense now. Would you like me to show you how a 45-45-90 triangle behaves?
Yeah, it kinda makes sense. And yeah, if it will help me understand better lol. Can I show you this other problem? It's sort of similar.
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form. The figure is not drawn to scale.
okay I was trying to draw a 45-45-90 triangle but then I gave up
here's a link http://www.atlantic.k12.ia.us/~period5/images/45-45-90_triangle.jpg
um okay let me look at the next problem
yeah that's a 30-60-90 triangle, have you learned about those?
If not, then you can use pythagorean theorem again
I've learned about triangles, but I never learned about 30 60 90 or the other triangle.
I know the pythagorean Theorem.
okay well then just use pythagorean theorem. The triangles I'm referring to are just shortcuts.
here's a link for a 30-60-90 triangle for future reference http://www.atlantic.k12.ia.us/~period5/images/30-60-90_triangle.jpg