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I need help solving this

I need help solving this-example-1
User Alexandre Pepin
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1 Answer

19 votes
19 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

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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 Iizno
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