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Pythagorean Triangles

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1. Find two pythagorean triangles with the same area. Can you find any more with the same area?

2. Prove that two Pythagorean triangles with the same area and equal hypotenuses are congruent.

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1. Let the base of a right angled triangle be 6 and its perpendicular is 2. Area of a triangle is given as (1/2) x Base x Altitude (Perpendicular). So, Area = ½ x 2 x 6 = 6
Let the base of ...

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  • MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
  • BSc, Banaras Hindu University
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