XYZ is a right angled triangle at Y, if D and E are midpoints of sides YZand XY respectively, prove - Maths - Triangles

Question

XYZ is a right angled triangle at Y, if D and E are midpoints of
sides YZand XY respectively, prove that : XD2 +
ZE​2 =5 DE2

Shalu Sharma · Accepted Answer

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https://www meritnation
com/ask-answer/question/p-and-q-are-the-midpoint-of-sides-ca-and-cb-respectively-o/triangles/9588495

XYZ is a right angled triangle at Y, if D and E are midpoints of sides YZand XY respectively, prove that : XD2 + ZE​2 =5 DE2.

XYZ is a right angled triangle at Y, if D and E are midpoints of sides YZand XY respectively, prove that : XD² + ZE² =5 DE².