Straight Lines
Triangle Centers
Grade 11
Question:
<p>The orthocentre of the triangle with vertices \((5, 0)\), \((0, 0)\), \(\left(\frac{5}{2}, \frac{5\sqrt{3}}{2}\right)\) is:</p>
<p>(a) \((2, 3)\)</p>
<p>(b) \(\left(\frac{5}{2}, \frac{5}{6}\right)\)</p>
<p>(c) \(\left(\frac{5}{2}, \frac{5}{2\sqrt{3}}\right)\)</p>
<p>(d) \(\left(\frac{5}{2}, \frac{5}{3}\right)\)</p>
Step-by-Step Solution
Key Concept: Use the property that the orthocentre is the intersection of altitudes from each vertex perpendicular to opposite sides.
<p>Not provided in source text</p>
Correct Answer: b