Question

If BC = 4.5, CD = 7.7, and AD = 16.7, find AB to the nearest tenth.

Answer 1

To find AB in triangle ABC, we can use the Pythagorean Theorem and plug in the given values to get the length approximately 14.8.

Step-by-step explanation:

To find the length of AB, we can use the Pythagorean Theorem. In triangle ABC, BC is the adjacent side, CD is the opposite side, and AD is the hypotenuse. Since BC and CD are given, we can find AB using the formula AB = √(AD^2 - CD^2). Plugging in the values, we get AB = √(16.7^2 - 7.7^2) = √(278.89 - 59.29) = √219.6 ≈ 14.8. Therefore, AB ≈ 14.8 to the nearest tenth.

Answer 2

We are already given with the following
BC = 4.5
CD = 7.7
AD = 16.7
We are asked for AB
Assuming that the line segments are colinear, we have the equation
AB + BC + CD = AD
Substituting
AB + 4.5 + 7.7 = 16.7
AB = 4.5