Let-ABCD-be-a-quadrilateral-with-an-inscribed-circle-Prove-that-the-circles-inscribed-in-triangles-ABC-and-ADC-are-tangent-to-each-other-

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 16958 by Tinkutara last updated on 28/Jun/17

Let ABCD be a quadrilateral with an inscribed circle. Prove that the circles inscribed in triangles ABC and ADC are tangent to each other.

$$\mathrm{Let}\:{ABCD}\:\mathrm{be}\:\mathrm{a}\:\mathrm{quadrilateral}\:\mathrm{with}\:\mathrm{an} \\ $$$$\mathrm{inscribed}\:\mathrm{circle}.\:\mathrm{Prove}\:\mathrm{that}\:\mathrm{the}\:\mathrm{circles} \\ $$$$\mathrm{inscribed}\:\mathrm{in}\:\mathrm{triangles}\:{ABC}\:\mathrm{and}\:{ADC} \\ $$$$\mathrm{are}\:\mathrm{tangent}\:\mathrm{to}\:\mathrm{each}\:\mathrm{other}. \\ $$

Facebook Tweet Pin

Let-ABCD-be-a-quadrilateral-with-an-inscribed-circle-Prove-that-the-circles-inscribed-in-triangles-ABC-and-ADC-are-tangent-to-each-other-

Leave a Reply Cancel reply