A right rectangular prism is shown.
To the nearest thousandth of an inch, what is the length of the diagonal, dd?

Question

contestada

Respuesta :

HelpfulHelpfulHippo HelpfulHelpfulHippo · Answer 1 · 2020-10-21T18:35:24+02:00

Answer:

15.56 in.

Step-by-step explanation:

i'm pretty sure i did it right, but im not sure. i haven't done geometry in like over 2 years.

find the hypotenuse of the triangle with 7 in. and 12 in. as your legs with the Pythgorean theorem (a^2 + b^2 = c^2, c equals the hypotenuse)

use that number you just got (I got [tex]\sqrt{193}[/tex]) and use it as one leg, and 7 in. as the other leg, with d as your hypotenuse

use the Phythagorean theorem again to find d, andddd... you've got your answer!

eudora eudora · Answer 2 · 2022-03-29T18:20:18+02:00

Length of diagonal 'd' of the right rectangular prism given in the picture will be 14.765 inches.

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

By applying Pythagoras theorem in right tringle ΔCBE,

(CE)² = (BC)² + (BE)²

(CE)² = 5² + 12²

CE = √169 = 13 inches

Similarly, apply Pythagoras theorem in right triangle ΔDCE,

(DE)² = (CD)² + (CE)²

d² = 7² + (13)²

d² = 49 + 169

d = √218

d = 14.7648

d ≈ 14.765 inches

Hence, measure of diagonal 'd' will be 14.765 inches.

Learn more about the Pythagoras theorem here,

https://brainly.com/question/12306722?referrer=searchResults