Home › UP Board Class 10 › Mathematics › The points $(3,2)$, $(-2,-3)$ and $(2,3)$ form w…
The points $(3,2)$, $(-2,-3)$ and $(2,3)$ form which type of triangle?
AEquilateral triangle
BIsosceles triangle
CRight triangle
DThey do not form a triangle
Answer & Solution
Correct answer: C. Right triangle
Using the distance formula, the side lengths are $\sqrt{50}$, $\sqrt{52}$ and $\sqrt{2}$. Their squares satisfy $50+2=52$, so by the converse of Pythagoras theorem the triangle is right-angled. They do form a triangle because the side lengths satisfy the triangle inequality.
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