COMEDK · Maths · 19. Properties of Triangles
The least area of a circle circumscribing any right-angle triangle of area \(\dfrac{9}{\pi}\) sq units is
- A 4.5 sq units
- B \(9 \pi\) sq units
- C \(\pi\) sq units
- D 9 sq units
Answer & Solution
Correct Answer
(D) 9 sq units
Step-by-step Solution
Detailed explanation
Let the sides of the right-angled triangle be \(a\), \(b\), and \(c\), where \(c\) is the hypotenuse. The area of the triangle is given by \(A = \dfrac{1}{2}ab = \dfrac{9}{\pi}\). The radius \(R\) of the circumcircle of a right-angled triangle is half the length of the…
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