Question

Segment AD is an altitude of triangle ABC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

If AD = 15, DC = 8, and AC = 17, find BA. Round to the tenths place if necessary.

31.9
28.1
9.1
7.1

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find BA, we can use the Pythagorean Theorem as triangle ABC is a right triangle with right angle at A.

AC^2 = AD^2 + DC^2
17^2 = 15^2 + 8^2
289 = 225 + 64
289 = 289

Next, we need to find BA:
BA^2 = AC^2 - AD^2
BA^2 = 17^2 - 15^2
BA^2 = 289 - 225
BA^2 = 64
BA = √64
BA = 8

Therefore, BA is 8.1. Rounded to the nearest tenth, BA = 8.1. So, the correct answer is 8.1.