*"True or False. Sum of the squares of all the sides of a rhombus is equal to the sum of its diagonals."*
1️⃣ FALSE
2️⃣ True
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*"True or False. Sum of the squares of all the sides of a rhombus is equal to the sum of its diagonals."*
1️⃣ FALSE
2️⃣ True
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Answer:
True, We know that the diagonals of a rhombus bisect each other at right angles...In a rhombus , all sides are equal. Hence, it is proved
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Answer:
ANSWER
Inrhombus,diagonalbisectseachotherat90
∘
∴∠AOB=∠BOC=∠COD=∠DOA=90
∘
Also,AO=CO=
2
1
AC→(i)
andBO=DO=
2
1
BD→(ii)
InΔAOB,
AB
2
=OA
2
+OB
2
=(
2
1
AC)
2
+(
2
1
BD)
2
=
4
AC
2
+BD
2
4AB
2
=AC
2
+BD
2
AB
2
+BC
2
+CD
2
+DC
2
=AC
2
+BD
2
proved.
solution
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