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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.

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 class=

Respuesta :

jackiezhang2007

This triangle is called a 45-45-90 triangle, and the side ratio for the sides opposite to the 45-45-90 degree angles respectively are 1-1-sqrt2

Now we know one side is 6 and its opposing the 45 degrees angle and BC is opposing the 90 degrees angle the ratio between the sides are 1:sqrt2

Therefore BC=6*sqrt2=6sqrt2

Thus B is the correct answer!

Hope this helped any questions just leave them in the comments of this answer.

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