Question

ABCD is an 8 by 6 rectangle. AC is a diagonal with length 10. Point E is on AC such that BE is perpendicular to AC . What is the length of BE

Answer 1

The length of BE is 5 units.

Explanation:

ABCD is rectangle

AC is a diagonal and BD is a diagonal too.

Diagonals of rectangle are equal and bisect each other perpendicularly.

So, AE = BE

AE = 1/2 × AC

= 1/2 × 10

= 5

BE = 5

Hence the length of BE is 5 units.