# Math

posted by .

ABC is a triangle with ∠BAC=60∘. It has an incircle Γ, which is tangential to BC at D. It is given that BD=3 and DC=4. What is the value of [ABC]^2?

• Math -

432

• Math -

How???

## Similar Questions

1. ### geometry(triangle)

Triangle ABC is a right triangle with ∠ABC=90∘. P is a point within triangle ABC such that ∠APB=∠BPC=∠CPA=120∘. If PA=15 and PB=6, what is the value of PC?
2. ### simple GEOMETRY!!

In triangle ABC, ∠ABC=30∘,∠ACB=60∘. D is a point in triangle ABC such that DB and DC bisect angles ABC and ACB respectively. What is the measure (in degrees) of ∠BDC?
3. ### maths

ABC is a triangle with ∠BAC=60∘,AB=5 and AC=25. D is a point on the internal angle bisector of ∠BAC such that BD=DC. What is AD^2?
4. ### maths

ABC is an acute triangle with ∠BCA=35∘. Denote the circumcenter of ABC as O and the orthocenter of ABC as H. If AO=AH, what is the value of ∠ABC(in degrees)?
5. ### Maths

Triangle ABC has lengths AB=14, AC=18 and also a given angle of ∠BAC=30∘. What is the area of triangle ABC?
6. ### Math

In triangle ABC, points D,E,F are on sides BC,CA,AB respectively such that AD,BE,CF are angle bisectors of triangle ABC. The lines AD,BE,CF are concurrent at I, the incenter of triangle ABC. If ∠BAC=92∘, what is the measure …
7. ### heeeeeeeeeeeeeeeeeeeelp maths

In triangle ABC, points D,E,F are on sides BC,CA,AB respectively such that AD,BE,CF are angle bisectors of triangle ABC. The lines AD,BE,CF are concurrent at I, the incenter of triangle ABC. If ∠BAC=92∘, what is the measure …
8. ### Math

Triangle ABC has ∠A=40∘, ∠B=60∘, ∠C=80∘. Points M,N trisect the side BC and points P,Q trisect the side AC. The lines AM,AN,BP,BQ intersect at the points S,T,U,V as shown in the figure below, dividing …
9. ### Mathematics

Triangle ABC has ∠A=40∘, ∠B=60∘, ∠C=80∘. Points M,N trisect the side BC and points P,Q trisect the side AC. The lines AM,AN,BP,BQ intersect at the points S,T,U,V as shown in the figure below, dividing …
10. ### Math

Someone please help me figure this problem Given: Triangles ABC and BCD are isosceles, m∠BDC = 30°, and m∠ABD = 155°. Find m∠ABC, m∠BAC, and m∠DBC.

More Similar Questions