Question

The trapezoid in the figure has equal nonparallel sides. The upper base is 6, the lower base is 16, and the diagonal is 12. What is the altitude of the trapezoid?

Answer 1

The altitude = 4.8 answer B

Explanation:

∵ The altitude is ⊥ to the longest base from the shortest base

∵ The diagonal = 12

∵ Altitude divides the longest base into 2 parts 11 and 5

By using Pythagoras theorem in the right angle Δ

∴ The altitude =
`\sqrt{(12)^(2)-(11)^(2)}=√(23)` = 4.795 ≅ 4.8