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ત્રિકોણ

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ગણિત ધોરણ 9 પ્રથમ સત્ર

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ગણિત

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ત્રિકોણ

જો bold increment bold space bold ABC ના બહિષ્કોણ bold angle bold space bold ACD નું માપ 120 છે અને તેના બે અંતઃસંમુખકોણ પૈકી કોઈ એકનું માપ 40 છે, તો bold increment bold space bold ABC ના અન્ય ખૂણાનાં માપ શોધો.

Answer
    • bold increment bold space bold ABCમ ાં bold space bold BE with bold bar on top bold space bold perpendicular bold space bold AC with bold bar on top bold space bold comma bold space bold D bold space bold element of bold space bold BC with bold bar on top  કે જેથી B – D – C. જો bold m bold space bold angle bold space bold EBC bold space bold equals bold space bold 40 bold comma bold space bold m bold space bold angle bold space bold DAC bold space bold equals bold space bold 30 bold comma bold space bold ત ો bold space bold m bold space bold angle bold space bold BCE શોધો તથા bold m bold space bold angle bold space bold ADC શોધો.
    Answer

    • નીચેની દરેક આકૃતિમાં xની કિંમત ગણો :  (x દર્શાવેલ ખૂણાનું માપ દર્શાવે છે.)

    Answer
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    bold increment bold space bold ABCમાં, bold m bold space bold angle bold space bold A bold space bold minus bold space bold m bold space bold angle bold space bold B bold space bold equals bold space bold 70 bold space bold અન ે bold space bold m bold space bold angle bold space bold B bold space bold minus bold space bold m bold space bold angle bold space bold C bold space bold equals bold space bold 40 હોય, તો bold increment bold space bold ABCના તમામ ખૂણાઓનાં માપ શોધો.

    bold ધ ા ર ો bold space bold ક ે bold comma bold space bold m bold space bold angle bold space bold B bold space bold equals bold space bold x bold m bold space bold angle bold space bold A bold space bold minus bold space bold m bold space bold angle bold space bold B bold space bold equals bold space bold 70 bold therefore bold space bold m bold space bold angle bold space bold A bold space bold minus bold space bold x bold space bold equals bold space bold 70 bold therefore bold space bold m bold space bold angle bold space bold A bold space bold equals bold space bold x bold space bold plus bold space bold 70 bold m bold space bold angle bold space bold B bold space bold minus bold space bold m bold space bold angle bold space bold C bold space bold equals bold space bold 40 bold therefore bold space bold x bold space bold minus bold space bold m bold space bold angle bold space bold C bold space bold equals bold space bold 40 bold therefore bold space bold x bold space bold minus bold space bold 40 bold space bold equals bold space bold m bold space bold angle bold space bold C bold therefore bold space bold m bold space bold angle bold space bold C bold space bold equals bold space bold x bold space bold minus bold space bold 40 bold increment bold space bold ABCમ ાં bold comma bold space bold m bold space bold angle bold space bold A bold space bold plus bold space bold m bold space bold angle bold space bold B bold space bold plus bold space bold m bold space bold angle bold space bold C bold space bold equals bold space bold 180 bold therefore bold space open parentheses bold x bold space bold plus bold space bold 70 close parentheses bold space bold plus bold space bold x bold space bold plus bold space open parentheses bold x bold space bold minus bold space bold 40 close parentheses bold space bold equals bold space bold 180 bold therefore bold space bold 3 bold x bold space bold plus bold space bold 30 bold space bold equals bold space bold 180 bold therefore bold space bold 3 bold x bold space bold equals bold space bold 180 bold space bold minus bold space bold 30 bold therefore bold space bold 3 bold x bold space bold equals bold space bold 150 bold therefore bold space bold x bold space bold equals bold space bold 50 bold આમ bold comma bold space bold increment bold space bold italic A bold italic B bold italic C bold space bold મ ાં bold comma bold m bold space bold angle bold space bold A bold space bold equals bold space bold x bold space bold plus bold space bold 70 bold space bold equals bold space bold 50 bold space bold plus bold space bold 70 bold space bold equals bold space bold 120 bold comma bold space bold m bold space bold angle bold space bold B bold space bold equals bold space bold x bold space bold equals bold space bold 50 bold space bold અન ે bold space bold m bold space bold angle bold space bold C bold space bold equals bold space bold c bold space bold minus bold space bold 40 bold space bold equals bold space bold 50 bold space bold minus bold space bold 40 bold space bold equals bold space bold 10
    Answer
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    bold increment bold space bold ABC ના ખૂણાઓનાં માપ 2 : 3 : 5ના પ્રમાણમાં હોય, તો તમામ ખૂણાઓનાં માપ શોધો.
    Answer
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