Using Sine Rule in the left triangle,
$\frac {sin \alpha}{a} = \frac {sin \beta}{b}$
Using Sine Rule in the right triangle,
$\frac {sin 20^\circ}{a} = \frac {sin 140^\circ}{b}$
Dividing the above equations we have,
$\frac {sin \alpha}{sin 20^\circ}=\frac {sin \beta}{sin 140^\circ}$ Continue reading $\alpha = ?$ in the Triangle
In a triangle ABC, let $AB=\sqrt {23}$, $BC=3$ and $CA=4$. Then the value of
$$\frac {cot A + cot C}{cot B}$$
is _______ . Continue reading In a triangle ABC, let $AB=\sqrt {23}$, $BC=3$ and ….
For a triangle, show that the point where altitude cuts circumcircle is the image of the orthocentre about the side.
Solution
Let ABC be triangle having H as orthocentre. The proof is given below for reflection about side BC. Similar approach can be used for reflections about other sides. Continue reading For a triangle, show that the point where altitude …
