Question

Trapezoid ABCD is shown. What is the length of AB?

Answer 1

`\huge \mathrm{Answer࿐}`

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

• height = 40 units

• base = 70 - 40 = 30 units

By Applying Pythagoras theorem here,

`\large\boxed{p {}^(2) + b {}^(2) = h {}^(2) }`

note :

• p = perpendicular / opposite side

• b = base / adjacent side

• h = hypotenuse (AB)

let's solve :

• 
  `40 {}^(2) + 30 {}^(2) = h {}^(2)`

• 
  `1600 + 900 = {h}^(2)`

• 
  `2500 = {h}^(2)`

• 
  `h = √(2500)`

• 
  `h = 50`

Therefore, Length of AB = 50 units

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`\mathrm{ \#TeeNForeveR}`