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Q. the angles of triangle are …

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Q. the angles of triangle are in A.P. The greatest angle is twice the least. Find all the angles

    • Posted by Krishnakant Malviya 6 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 4 months ago

    Let the three angles of triangle which are in A.P. be a - d, a, a + d
    Now, sum of the angles = 180°
    {tex}\Rightarrow{/tex} a - d + a+ a + d = 180°
    {tex}\Rightarrow{/tex} 3a = 180°
    {tex}\Rightarrow{/tex} a =  60°
    It is given that,
    a + d= 2(a - d)
    {tex}\Rightarrow{/tex} a + d = 2a - 2d
    {tex}\Rightarrow{/tex} a = 3d
    {tex}\Rightarrow{/tex} 60° = 3d
    {tex}\Rightarrow{/tex} d = 20°
    Thus, the angles of triangle are 40°, 60°, 80°.

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    X-y=5

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    This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

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