Pythagorean-Theorem-math-homework-help

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This is a Geometry 2 class. Please answer these two questions.  see attached rubric as well.

I am working with Pythagorean Theorem or trigonometric ratios.

Question 1:   The diagram below shows equilateral  triangle ABC sharing a

side with square  ACDE. The square has side lengths of 4.

What is BE? Justify your answer.

Please see the attached documents for the figures and the 2nd question.