Question

Each vertex of a right angled triangle is reflected in the opposite side. The ratio of the area of the line triangle thus formed and the original triangle is

• A. 2
• B. 3
• C. 4
• D. None of these

Answer 1

Answer: (B)

3

Answer 2

Let the vertices of the triangle be (0, 0), A (a, 0) and B (0, b)

Let O¢, A¢ and B¢ be the reflection of O, A and B in the opposite sides of the triangle

Ž A¢ ŗ (–a, 0) and B¢ (0, –b)

Ž area of D O¢AB¢ = $\frac{1}{2}$. 3k $\sqrt{a^{2} + b^{2}}$

Ž area of DOAB =$\frac{1}{2}$ k $\sqrt{a^{2} + b^{2}}$Ž ratio = 3: 1