2126364
contestada

*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

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 class=

Respuesta :

Answer:

26.9 inches

Step-by-step 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:

  • 26.93 in

Step-by-step explanation:

Use Pythagorean:

  • [tex]AD^2 = AB^2+BC^2+CD^2\\AD = \sqrt{7^2+24^2+10^2} = \sqrt{725}[/tex] ≈ 26.93 in