Question

Need help on 12...have to find the area..teacher said to use pythagreoum(how ever u spell it) theorem

Answer 1

58
`√(65)`

Explanation:

you can find the height of this trapezoid by using the pythagorean theorem where the hypotenuse is 18 and one leg is 8 (33-25)

let x = height

`8^(2)` +
`x^(2)` =
`18^(2)`

`x^(2)` = 324 - 64

`x^(2)` = 260 therefore, x =
`√(260)`

`√(260)` =
`√(4)`·
`√(65)` or 2
`√(65)`

A =
`(1)/(2)`h x (sum of the bases)

bases are 25 and 33

A = (2
`√(65)`) ÷ 2)58