Kite ABCD has a longer diagonal AC with a length of 14 in. and a shorter diagonal BD with a length of 8 in. The diagonals intersect at point E. What is the length of BE?

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Answer:

BE =4inches

Step-by-step explanation:

It is given that Kite ABCD has a longer diagonal AC with a length of 14 in. and a shorter diagonal BD with a length of 8 in. The diagonals intersect at point E.

Since, the diagonals of kite intersect at point E and they bisect each other therefore

BE+ED=BD

⇒BE+BE=BD

⇒2BE=BD

⇒2BE=8

BE=4 inches.

Therefore, the length of BE will be 4 inches.

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