RandomPersonGF
Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

WILL GIVE BRAINLIEST. Need an answer ASAP!

The diagonals of a rectangle ABCD intersect at E. AE = x+4 and CE = 3x-12. Find BE

WILL GIVE BRAINLIEST Need An Answer ASAP The Diagonals Of A Rectangle ABCD Intersect At E AE X4 And CE 3x12 Find BE class=

Sagot :

BrainLifting

Answer:

[tex]BE=12 units[/tex]

Step-by-step explanation:

[tex]We\ know\ that,\\In\ a\ rectangle\ all\ diagonals\ are\ equal\ and\ bisect\ each\ other.\\Hence,\\In\ Rectangle\ ABCD,\\AE=EC\\Hence,\\Substituting\ the\ values\ we\ get:\\x+4=3x-12\\Hence,\\-2x=-16\\x=\frac{-16}{-2}=8\\Now,\\We\ also\ know\ that,\\ AC=DB\\Hence,\\\frac{AC}{2}=\frac{DB}{2} \\Hence,\\DE=EB=AE=EC\\Hence,\\Since\ AE=BE,\\BE=x+4\\We\ already\ know\ that\ x=8.\\Hence, BE=8+4=12[/tex]

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.