2 years ago

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

Mathematics

1 answer:

seropon [69]2 years ago

5 0

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.

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Answer:

Step-by-step explanation:

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I hope this helps you