In triangle abc, we have angle bac = 60 degrees and angle abc = 45 degrees. the bisector of angle a intersects line b at point t

Question

mixer [17]

3 years ago

5

In triangle abc, we have angle bac = 60 degrees and angle abc = 45 degrees. the bisector of angle a intersects line b at point t

, and at = 24. what is the area of triangle abc

Mathematics

1 answer:

Helen [10] · Answer 1 · 2022-07-08T22:57:02+03:00

In my estimations you have a triangle with 2 angles and an altitude or height. You have to find the base of the triangle in order to find the area. I set up the triangle and sine the 60 degree angle was bisected I know that the vertex angle is 30 in my right triangle. I used the tangent ratio of 30 to find the base of that triangle and then multiplied it by 2 to get that the whole base measure is 27.71281292. Then I multiplied it by the height I was given of 24 and divided the whole mess in half to get the area. 332.553 units squared.