Question

In triangle ABC, A is a right angle and M B=45°. Find BC. If you answer is not an integer, leave it in simplest radical form.

Answer 1

Step-by-step explanation:

- In a right triangle, if ∠B is 45°, then ∠C is too.

-- Since ∠B  and  ∠C  are equal, the sides opposite them

are equal too.  This is an isosceles right triangle.  Its legs

are equal.

-- (The hypotenuse)²  =  (one leg)²  +  (the other leg)²

                                  =       (12-ft)²  +  (12-ft)²

                                  =              (144 x 2)

     The hypotenuse  =  √(144 x 2)  =  12√2 .

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