Respuesta :

[tex] \huge \mathrm{Answer࿐}[/tex]

In the given Trapezoid, There's a right angled triangle with :

  • height = 40 units

  • base = 70 - 40 = 30 units

By Applying Pythagoras theorem here,

[tex] \large\boxed{p {}^{2} + b {}^{2} = h {}^{2} }[/tex]

note :

  • p = perpendicular / opposite side

  • b = base / adjacent side

  • h = hypotenuse (AB)

let's solve :

  • [tex]40 {}^{2} + 30 {}^{2} = h {}^{2} [/tex]

  • [tex]1600 + 900 = {h}^{2} [/tex]

  • [tex]2500 = {h}^{2} [/tex]

  • [tex]h = \sqrt{2500} [/tex]

  • [tex]h = 50[/tex]

Therefore, Length of AB = 50 units

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[tex]\mathrm{ \#TeeNForeveR}[/tex]

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