The diagram shows a cuboid
2 answers:
Answer:
AE = 21.471cm long
(Rounded to 3 sig figs would be 21.5cm)
Step-by-step explanation:
Use the pythagorean theorem to find the length of AH
10^2 + AH^2 = 25^2
AH^2= (625 - 100)
AH = Square root of (525)
AH = 22.913
Plug in this value for AH to solve for AE using the pythagorean theorem
HE^2 + AE^2 = AH^2
8^2 + AE^2 = 22.913^2
AE^2 = 525 - 64
AE = Square root of (461)
AE = 21.4709
Hope this helps!
Answer:
AE=21.47
Step-by-step explanation:
trg ABD I apply the Pitagorean Theoreme
BD^2=10^2+8^2=100+64=164
trg HDB I apply the Pitagorean Theoreme
DH^2+BD^2=BH^2
DH^2+164=25^2
DH^2+164=625
DH^2=625-164=461
DH=V461=21.47
AE=DH=21.47
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