208k views
20 votes
I need help solving this

I need help solving this-example-1

1 Answer

9 votes

Answer:

AD ≈ 80

Explanation:

The Pythagorean theorem can be used to write and solve relations between the various edges and diagonals.

AE is the hypotenuse of ΔABE, so you have ...

AE² = AB² +BE²

BE² = AE² -AB² = 65 -52 = 13

__

AD is the hypotenuse of ΔACD. We presume the figure is a rectangular prism, so CD = BE. Then you have ...

AD² = AC² +CD²

AD² = 80² +13 = 6413 . . . . . CD² = BE² = 13

AD = √6413 ≈ 80.081

AD ≈ 80

User Niko Efimov
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories