What is the number of right angled triangles that can be drawn using three of the points A, B, C, D, E and Fas vertices, if BE divides the rectangle into two squares? A B C חד E D (
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The Pythagorean Theorem, a2+b2=c2, can be used to find the length of any side of a right triangle.
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12 right-angled triangles can be formed by using any three points from A, B, C, D, E, and F as vertices of a rectangle.
- Twelve right-angled triangles can be formed in the rectangle.
- BE divides the rectangle into two squares.
- The triangles will be formed by choosing any 3 vertices.
- The triangles are, AFE, BFE, AFB, ABE, BED, CED, EBD, ECD, AFC, ADC, AFD, and CFD.
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