In a rectangle ABCD, the diagonals intersect at O. Correct the mistakes in the following Give reasons.
(i) angle AOB = 120°,angle ABO = 45°, angle OBC = 45°
(ii) AO = 6 cm, BO = 4.5 cm, AB = 7.5 cm (iii) AB = 8 cm, BC = 6 cm, AC = 5.5 cm
(iv) angle OAB = angle OAD =50°.
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Answers
Answer:
In a rectangle ABCD ,the diagonals intersect at O and
\textsf{AO=6cm ,BO=4.5cm,AB=7.5cm}AO=6cm ,BO=4.5cm,AB=7.5cm
\textbf{To find:}To find:
\textsf{The mistakes in the given data}The mistakes in the given data\begin{gathered}\boxed{\begin{minipage}{7cm}$\\\textsf{1.\;Diagonals of rectangle bisect each other}\\\\\textsf{2.\;Diagonals of rectangle are equal in length}$\end{minipage}}\end{gathered}
\implies\mathsf{OA=OC\;\;\&\;\;OB=OD}⟹OA=OC&OB=OD
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\implies\mathsf{OA=OC=6\;\;\&\;\;OB=OD=4.5}⟹OA=OC=6&OB=OD=4.5
\mathsf{AC=OA+OC=6+6=12\;cm}AC=OA+OC=6+6=12cm
\mathsf{BD=OB+OD=4.5+4.5=9}BD=OB+OD=4.5+4.5=9
\mathsf{Length\;of\;AC\;{\neq}\;Length\;of\;BD}LengthofAC
=LengthofBD
\textsf{But, length of the diagonals should be equal}But, length of the diagonals should be equal
\mathsf{So\;it\;should\;be\;OA=OB}SoitshouldbeOA=O
Step-by-step explanation:
Answer:
easy answer
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