Question

in triangle abc, what will be the e-radius opposite to the vertex a​

Answer 1

Answer:

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Answer 2

Answer:

The ex-radii of a triangle abc with side a are given by $r_{a}$ = Δ / (s-a)

Step-by-step explanation:

In triangle abc, let a be the side opposite to vertex a, b be the side opposite to vertex b, and c be the side opposite to vertex c.

Then the ex-radii of a triangle with sides a, b, c are given by

$r_{a}$ = Δ / (s-a)

$r_{b}$ = Δ / (s-b)

$r_{c}$ = Δ / (s-c)

The internal bisector of each angle of the triangle and the external bisectors of the remaining two angles of the triangle are concurrent at an excenter of the triangle. An excircle can be constructed with this as the center, tangent to the lines containing the three sides of the triangle.  The radius of this ex-circle is called the ex-radius of triangle ABC and it is denoted by r.