Question

*not drown to scale

What is the distance between A and D? Enter the answer in the box. Round the answer to the nearest hundredth of an inch.
inches

Answer 1

26.9 inches

Explanation:

2x Pythagorean theorem

First we find the length of AC with ABC. AC is the hypotenuse of triangle ABC.

AC = sqrt(7^2+24^2) = sqrt625 = 25.

Now, AD is the hypotenuse of ACD. So AD = sqrt(25^2+10^2) = sqrt(725) = 26.925824 which is about 26.9 inches.

Answer 2

• 26.93 in

Explanation:

Use Pythagorean:

• 
  `AD^2 = AB^2+BC^2+CD^2\\AD = √(7^2+24^2+10^2) = √(725)` ≈ 26.93 in