Question

In triangle ABC, we know that AB = 5, BC = 9, and CA = 7. D is a point on BC such that AD bisects ∠BAC. What is DC?

O is the circumcenter of 4ABC. If OB = OC = BC, what is ∠BAC

Answer 1

In triangle ABC, if AD bisects angle BAC, we can use the angle bisector theorem to find the length of DC. The length of DC is approximately 6.43.

Step-by-step explanation:

In triangle ABC, we know that AB = 5, BC = 9, and CA = 7. In triangle ABC, D is a point on BC such that AD bisects angle BAC. To find DC, we can use the angle bisector theorem.

According to the angle bisector theorem, the length of DC can be found using the equation: DC = (AB/AC) * BC.

Plugging in the given values, DC = (5/7) * 9 = 45/7 which is approximately 6.43.

In triangle ABC, we know that AB = 5, BC = 9, and CA = 7. In triangle ABC, D is a point on BC such that AD bisects angle BAC. To find DC, we can use the angle bisector theorem.

According to the angle bisector theorem, the length of DC can be found using the equation: DC = (AB/AC) * BC.

Plugging in the given values, DC = (5/7) * 9 = 45/7 which is approximately 6.43.