Question

The extremities of the base of an isosceles triangle $ABC$ are the points $A,\left(2,0\right)$ and $B,\left(0,1\right)$ if the equation of the side $x=2$ then the slope of the side $BC$ is

• A. $\frac{3}{4}$
• B. $\frac{4}{3}$
• C. $\frac{3}{2}$
• D. $\sqrt{3}$

Answer 1

The correct option is A $\frac{3}{4}$

Equation of side $ac$ is $x=?$

So the poine has coordinates $(2,k)$ and distance between point $a$ and $c$ is equal to point $b$ and $c$ (since isosceles)

So $(K=\frac{5}{2})$

and using the slope of $bc$ is $314$

So Answer is $A$