Math, asked by Momoko223, 1 year ago

if the diagonal of a llgm are equal,then show that it is a rectangle

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Answers

Answered by Anonymous

#Heya Yash is here for help you#

#Please mark as Brainliest answer#

In ΔABC and ΔDCB,

AB = DC (Opposite sides is equal)

BC = BC (Common)

AC = DB (Given)

∴ ΔABC ≅ ΔDCB (By SSS)

⇒ ∠ABC = ∠DCB

Measures of angles transversal is 180º.

∠ABC + ∠DCB = 180º (AB || CD)

⇒ ∠ABC + ∠ABC = 180º

⇒ 2∠ABC = 180º

⇒ ∠ABC = 90º

ABCD is a parallelogram and one of its interior angles is 90º ABCD is a rectangle

#Please mark as Brainliest answer#

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