Question

Which of the following represents the length of a diagonal of this trapezoid?

Answer 1

`\sqrt{(a+b)^(2)+c^(2) }`

Explanation:

Answer 2

(D)

Explanation:

Given ABCD is a trapezoid.Join the points A and C of the trapezoid together to form a diagonal of the trapezoid.Thus, Points A and C have coordinates (-a,0) and (b,c).

Using the distance formula on AC, we have

AC=
`\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}`

=
`\sqrt{(b+a)^(2)+(c-0)^(2)}`

=
`\sqrt{(a+b)^(2)+c^(2)}`

which is the required length of the diagonal of the trapezoid.