Question

4. One base of the trapezoid is 2 cm longer than the other and the centre line is 13 cm. Calculate the bases of the trapezoid.

Answer 1

Given

The one base of trapezoid is given BC=x.

The other base of trapezoid is given AD=x+2.

The average base is MN=13.

Step-by-step explanation

To find the bases of the trapezoid,

`(1)/(2)(b_1+b_2)=b_(avg)`

Substitute the values,

`\begin{gathered} (1)/(2)(x+x+2)=13 \\ 2x+2=26 \\ 2x=24 \\ x=12 \end{gathered}`

Then the bases are find by substitute the values of x.

BC=12

AD=12+2=14

Answer

Hence the bases are

BC=12cm and AD=14cm