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Right triangle
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==Medians== The following formulas hold for the [[median (geometry)|medians]] of a right triangle: :<math>m_a^2 + m_b^2 = 5m_c^2 = \frac{5}{4}c^2.</math> The median on the hypotenuse of a right triangle divides the triangle into two isosceles triangles, because the median equals one-half the hypotenuse. The medians <math>m_a</math> and <math>m_b</math> from the legs satisfy<ref name=Crux/>{{rp|p.136,#3110}} :<math>4c^4+9a^2b^2=16m_a^2m_b^2.</math>
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