Question

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

Answer 1

Answer:

(D)

Step-by-step 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.