Question

The equation of the hypotenuse of a right isosceles triangle $ABC$ is $x-2 y-3=0$. If the vertex of the right angle lie at the point $C (1,6)$ then:

• A. area of the $\triangle ABC$ is less than $40 sq$. units
• B. area of the $\triangle ABC$ is more than $30 sq$. units
• C. the equation of the two legs of the $\triangle ABC$ are $3 x - y +3=0$ and $x +3 y -19=0$
• D. circumradius of the $\triangle ABC$ is $\frac{14 \sqrt{5}}{5}$

Answer 1

Answer: (A), (B), (C), (D)

area of right isosceles triangle is $p ^2=\frac{196}{5}$