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| 1. |
Show the points (-2,3)(8,3)and(6,7) are the vertices of right angle triangle |
| Answer» Let A(-2,3) ,B(8,3) and C(6,7) be the vertices of a given triangle.Then,{tex}(AB)^2=(8+2)^2+(3-3)^2=(10)^2+0^2=100{/tex}{tex}{/tex}{tex}(BC)^2=(8-6)^2+(3-7)^2=2^2+4^2=4+16=20{/tex}{tex}(AC)^2=(-2-6)^2+(3-7)^2=8^2+4^2=64+16=80{/tex}Clearly,\xa0{tex}(AB)^2=(AC)^2+(BC)^2{/tex}Therefore, A(-2,3),B(8,3) and C(6,7) are the vertices of right-angled triangle. | |