Respuesta :

Answer: altitude: 5 cm

Explanation:

[tex]\sf \dfrac{1}{2} ( a + b) h = Area \ of \ trapezium[/tex]

[ a and b are bases, h is the altitude ]

Here given:

  • Area = 35
  • a = 6
  • b = 8
  • h = ?

Solve for altitude:

[tex]\sf \rightarrow \sf \dfrac{1}{2} ( 6 + 8) h = 35 \ \ \ \Rightarrow \ \ \ \dfrac{1}{2} ( 14) h = 35 \ \ \ \ \Rightarrow \ \ \ \ 7 h = 35 \ \ \ \ \Rightarrow \ \ h = \dfrac{35}{7} \ = \ 5[/tex]