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Preeti Dabral 3 years ago
A workbook is a spreadsheet program file that you create in Excel. A workbook contains one or more worksheets. A worksheet (also known as a spreadsheet) consists of cells in which you can enter and calculate data. The cells are organized into columns and rows.
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Preeti Dabral 3 years ago
Given: Let ABCD is a quadrilateral.
Let its diagonal AC and BD bisect each other at right angle at point O.

{tex}\therefore {/tex}OA = OC, OB = OD
And {tex}\angle {/tex}AOB = {tex}\angle {/tex}BOC = {tex}\angle {/tex}COD = {tex}\angle {/tex}AOD = {tex}{90^ \circ }{/tex}
To prove: ABCD is a rhombus.
Proof: In {tex}\triangle{/tex}AOD and {tex}\triangle{/tex} BOC,
OA = OC [Given]
{tex}\angle {/tex}AOD = {tex}\angle {/tex}BOC [Given]
OB = OD [Given]
{tex}\therefore {/tex} {tex}\triangle{/tex}AOD {tex} \cong{/tex} {tex}\triangle{/tex}COB [By SAS congruency]
{tex} \Rightarrow {/tex} AD = CB [By C.P.C.T.]……….(i)
Again, In {tex}\triangle{/tex}AOB and {tex}\triangle{/tex}COD,
OA = OC [Given]
{tex}\angle {/tex} AOB = {tex}\angle {/tex}COD [Given]
OB = OD [Given]
{tex}\therefore {/tex} {tex}\triangle{/tex}AOB {tex} \cong {/tex} {tex}\triangle{/tex}COD [By SAS congruency]
{tex} \Rightarrow {/tex} AB = CD [By C.P.C.T.]……….(ii)
Now In {tex}\triangle{/tex}AOB and {tex}\triangle{/tex}BOC,
OA = OC [Given]
{tex}\angle {/tex} AOB = {tex}\angle {/tex}BOC [Given]
OB = OB [Common]
{tex}\therefore {/tex} {tex}\triangle{/tex}AOB {tex} \cong{/tex} {tex}\triangle{/tex}COB [By SAS congruency]
{tex} \Rightarrow {/tex} AB = BC [By C.P.C.T.]……….(iii)
From eq. (i), (ii) and (iii),
AD = BC = CD = AB
And the diagonals of quadrilateral ABCD bisect each other at right angle.
Therefore, ABCD is a rhombus.
Posted by Shivani Raj 3 years, 1 month ago
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Sai Chaudhari 3 years, 1 month ago
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Sai Chaudhari 3 years, 1 month ago
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Sai Chaudhari 3 years, 1 month ago
Few rules to keep homework help section safe, clean and informative.
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If Distance between two lines at each point is equal then they are said to be parallel
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Preeti Dabral 3 years ago
Kabir's teachings were vehement and rejected major religious traditions. His teachings ridiculed different forms of external worship of both Brahmanical, Hinduism and Islam. He used to teach Hindu, Muslim unity. He believed that God is one who just has different names.
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Preeti Dabral 3 years ago
माल्थस के अनुसार, 'जनसंख्या दोगुनी रफ्तार (1, 2, 4, 8, 16, 32) से बढ़ती है, जबकि संसाधनों में सामान्य गति (1, 2, 3, 4, 5) से ही वृद्धि होती है। परिणामतः प्रत्येक 25 वर्ष बाद जनसंख्या दोगुनी हो जाती है।
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Almeen Ali 3 years, 1 month ago
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