Isosceles or Right Triangle?

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Do the points $A(6,4)$, $B(4,-3)$, and $C(-2,3)$ form an isosceles triangle or a right triangle? How do you know?




I tried converting these to polar coordinates..







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  • 2




    How about computing the side-lengths of the triangle?
    – Lord Shark the Unknown
    Jul 31 at 17:08










  • Why polar? Compute the distances between all the points.
    – Randall
    Jul 31 at 17:08










  • I highly recommend graphing those points and then computing the distances between them.
    – é«˜ç”°èˆª
    Jul 31 at 17:09














up vote
0
down vote

favorite













Do the points $A(6,4)$, $B(4,-3)$, and $C(-2,3)$ form an isosceles triangle or a right triangle? How do you know?




I tried converting these to polar coordinates..







share|cite|improve this question

















  • 2




    How about computing the side-lengths of the triangle?
    – Lord Shark the Unknown
    Jul 31 at 17:08










  • Why polar? Compute the distances between all the points.
    – Randall
    Jul 31 at 17:08










  • I highly recommend graphing those points and then computing the distances between them.
    – é«˜ç”°èˆª
    Jul 31 at 17:09












up vote
0
down vote

favorite









up vote
0
down vote

favorite












Do the points $A(6,4)$, $B(4,-3)$, and $C(-2,3)$ form an isosceles triangle or a right triangle? How do you know?




I tried converting these to polar coordinates..







share|cite|improve this question














Do the points $A(6,4)$, $B(4,-3)$, and $C(-2,3)$ form an isosceles triangle or a right triangle? How do you know?




I tried converting these to polar coordinates..









share|cite|improve this question












share|cite|improve this question




share|cite|improve this question








edited Jul 31 at 17:22









Math Lover

12.2k21132




12.2k21132









asked Jul 31 at 17:07









amber patel

6




6







  • 2




    How about computing the side-lengths of the triangle?
    – Lord Shark the Unknown
    Jul 31 at 17:08










  • Why polar? Compute the distances between all the points.
    – Randall
    Jul 31 at 17:08










  • I highly recommend graphing those points and then computing the distances between them.
    – é«˜ç”°èˆª
    Jul 31 at 17:09












  • 2




    How about computing the side-lengths of the triangle?
    – Lord Shark the Unknown
    Jul 31 at 17:08










  • Why polar? Compute the distances between all the points.
    – Randall
    Jul 31 at 17:08










  • I highly recommend graphing those points and then computing the distances between them.
    – é«˜ç”°èˆª
    Jul 31 at 17:09







2




2




How about computing the side-lengths of the triangle?
– Lord Shark the Unknown
Jul 31 at 17:08




How about computing the side-lengths of the triangle?
– Lord Shark the Unknown
Jul 31 at 17:08












Why polar? Compute the distances between all the points.
– Randall
Jul 31 at 17:08




Why polar? Compute the distances between all the points.
– Randall
Jul 31 at 17:08












I highly recommend graphing those points and then computing the distances between them.
– é«˜ç”°èˆª
Jul 31 at 17:09




I highly recommend graphing those points and then computing the distances between them.
– é«˜ç”°èˆª
Jul 31 at 17:09










2 Answers
2






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Hint: Compute $$AB=sqrt(4-6)^2+(-3-4)^2=…$$
$$BC=sqrt(-2-4)^2+(3-(-3))^2=…$$






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    $$AB=sqrt(4-6)^2+(-3-4)^2=sqrt53\BC=sqrt(-2-4)^2+(3-(-3))^2=sqrt72\AC=sqrt(-2-6)^2+(3-4)^2=sqrt65$$This is not a right triangle because $a^2+b^2ne c^2$.



    This not an isosceles triangle because no two sides are equal.






    share|cite|improve this answer























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      2 Answers
      2






      active

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      2 Answers
      2






      active

      oldest

      votes









      active

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      active

      oldest

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      up vote
      2
      down vote













      Hint: Compute $$AB=sqrt(4-6)^2+(-3-4)^2=…$$
      $$BC=sqrt(-2-4)^2+(3-(-3))^2=…$$






      share|cite|improve this answer

























        up vote
        2
        down vote













        Hint: Compute $$AB=sqrt(4-6)^2+(-3-4)^2=…$$
        $$BC=sqrt(-2-4)^2+(3-(-3))^2=…$$






        share|cite|improve this answer























          up vote
          2
          down vote










          up vote
          2
          down vote









          Hint: Compute $$AB=sqrt(4-6)^2+(-3-4)^2=…$$
          $$BC=sqrt(-2-4)^2+(3-(-3))^2=…$$






          share|cite|improve this answer













          Hint: Compute $$AB=sqrt(4-6)^2+(-3-4)^2=…$$
          $$BC=sqrt(-2-4)^2+(3-(-3))^2=…$$







          share|cite|improve this answer













          share|cite|improve this answer



          share|cite|improve this answer











          answered Jul 31 at 17:09









          Dr. Sonnhard Graubner

          66.6k32659




          66.6k32659




















              up vote
              2
              down vote













              $$AB=sqrt(4-6)^2+(-3-4)^2=sqrt53\BC=sqrt(-2-4)^2+(3-(-3))^2=sqrt72\AC=sqrt(-2-6)^2+(3-4)^2=sqrt65$$This is not a right triangle because $a^2+b^2ne c^2$.



              This not an isosceles triangle because no two sides are equal.






              share|cite|improve this answer



























                up vote
                2
                down vote













                $$AB=sqrt(4-6)^2+(-3-4)^2=sqrt53\BC=sqrt(-2-4)^2+(3-(-3))^2=sqrt72\AC=sqrt(-2-6)^2+(3-4)^2=sqrt65$$This is not a right triangle because $a^2+b^2ne c^2$.



                This not an isosceles triangle because no two sides are equal.






                share|cite|improve this answer

























                  up vote
                  2
                  down vote










                  up vote
                  2
                  down vote









                  $$AB=sqrt(4-6)^2+(-3-4)^2=sqrt53\BC=sqrt(-2-4)^2+(3-(-3))^2=sqrt72\AC=sqrt(-2-6)^2+(3-4)^2=sqrt65$$This is not a right triangle because $a^2+b^2ne c^2$.



                  This not an isosceles triangle because no two sides are equal.






                  share|cite|improve this answer















                  $$AB=sqrt(4-6)^2+(-3-4)^2=sqrt53\BC=sqrt(-2-4)^2+(3-(-3))^2=sqrt72\AC=sqrt(-2-6)^2+(3-4)^2=sqrt65$$This is not a right triangle because $a^2+b^2ne c^2$.



                  This not an isosceles triangle because no two sides are equal.







                  share|cite|improve this answer















                  share|cite|improve this answer



                  share|cite|improve this answer








                  edited Jul 31 at 18:11


























                  answered Jul 31 at 17:23









                  Key Flex

                  3,817423




                  3,817423






















                       

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