numex996 numex996
  • 23-05-2022
  • Mathematics
contestada

the area of a trapezium is 35cm2.find its altitude if the bases is 6cm and 8cm​

Respuesta :

fieryanswererft
fieryanswererft fieryanswererft
  • 23-05-2022

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]

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