AP EAMCET · Maths · Properties of Triangles
The vertices of a triangle are \(A(0,0), B(0,2)\) and \(C(2,0)\), then find the distance between its orthocentre and circumcentre.
- A 0
- B \(\sqrt{2}\) units
- C \(\frac{1}{\sqrt{2}}\) units
- D \(\sqrt{3}\) units
Answer & Solution
Correct Answer
(B) \(\sqrt{2}\) units
Step-by-step Solution
Detailed explanation
Given \(A(0,0), B(0,2) C(2,0)\), \(\overline{A C}\) is a horizontal line and \(\overline{A B}\) is a vertical line. Given, vertices of \(\triangle A B C\) are the vertices of right-angled triangle, right-angled at \(A\). In a rightangled triangle, \(A\) is orthocentre and…
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