Question

The area of a trapezium is 35 cm². Find its altitude if the bases are 6 cm and 8 cm.

Answer 1

altitude = 5 cm

Explanation:

the area (A) of a trapezium is calculated as

A =
`(1)/(2)` h (b₁ + b₂ )

h is the altitude and b₁, b₂ the bases

given A = 35 cm² , b₁ = 6 cm, b₂ = 8 cm

substitute these values into the formula for A

35 =
`(1)/(2)` h ( 6 + 8) ← multiply both sides by 2 to clear the fraction

70 = 14 h ( divide both sides by 14 )

5 = h

The altitude is 5 cm