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CBSE Class 10 Answered

Equilateral triangles are drawn on the three sides of a right angled triangle. Show that the area of the triangle on the hypotenuseis equal to the sum of the areas of triangles on the other two sides.
Asked by Rithwikrishanth123 | 31 Aug, 2018, 11:01: PM
answered-by-expert Expert Answer
begin mathsize 18px style let space the space sides space be space straight a comma space straight b comma straight c such space that space straight c space is space hypotenuse straight c squared equals straight a squared plus straight b squared multiply space fraction numerator square root of 3 over denominator 4 end fraction space on space both space sides fraction numerator square root of 3 over denominator 4 end fraction straight c squared equals fraction numerator square root of 3 over denominator 4 end fraction straight a squared plus fraction numerator square root of 3 over denominator 4 end fraction straight b squared area space of space equi space triangle space equals fraction numerator square root of 3 over denominator 4 end fraction side squared fraction numerator square root of 3 over denominator 4 end fraction straight c squared equals fraction numerator square root of 3 over denominator 4 end fraction straight a squared plus fraction numerator square root of 3 over denominator 4 end fraction straight b squared space means area space of space equi space triangle space with space side space straight c space equals space area space of space equi space triangle space with space side space straight a space plus area space of space equi space triangle space with space side space straight b end style
Answered by Arun | 03 Sep, 2018, 11:40: AM

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