Prove That In a Rhombus Diagonals are perpendicular to each other.
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The diagonals of a rhombus are perpendicular bisectors of each other..
for e.g take a rhombus abcd
join the diagonals ad and bc
you will see them being divided into two congruent triangles, on drawing the other diagonal you will get 4 triangles of same length
so as we know sum of all angles of a quadrilateral is 360° so each triangle is right angled...
from these evidences it is proved that diagonals of a rhombus are perpendicular bisectors of each other..
for e.g take a rhombus abcd
join the diagonals ad and bc
you will see them being divided into two congruent triangles, on drawing the other diagonal you will get 4 triangles of same length
so as we know sum of all angles of a quadrilateral is 360° so each triangle is right angled...
from these evidences it is proved that diagonals of a rhombus are perpendicular bisectors of each other..
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