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Use area of squares to visualize Pythagorean theorem

Problem

The areas of the squares adjacent to two sides of a right triangle are shown below.
A right triangle with a square connected to all 3 sides of the triangle. The square connected to the top, right side of the triangle is labeled ? square units. The square connected to the bottom side of the triangle is labeled 50 square units. The square connected to the left side of the triangle is labeled 35 square units.
What is the area of the square adjacent to the third side of the triangle?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
units2
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