# math

Trapezoid ABCD is formed by
A (–7,3) B (–5,6) C (0,6), and D (0,3).Determine the length of the diagonal AC in trapezoid ABCD. Round to the nearest tenth and show all of your work.
what do I do?

1. 👍
2. 👎
3. 👁
1. plot the points!
AD is parallel to BC, so the height is CD, which is ⊥ AD
Now area = (AB+BC)/2 * CD
No fancy distance formulas needed, since all the lines in question are either vertical or horizontal.

1. 👍
2. 👎
👤
oobleck
2. oops. I guess you do need the distance formula, which you have ...

1. 👍
2. 👎
👤
oobleck

## Similar Questions

1. ### MATH

In an isosceles trapezoid the length of a diagonal is 25 cm and the length of an altitude is 15 cm. Find the area of the trapezoid.

2. ### Algebra

The lenght of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of 18 feet and an area of 477 ft2, find the length of the longer base

3. ### math

The formula for the area of a trapezoid is A=1/2h(b1+b2) were h is the height of the trapezoid, and b1 and b2 are the base lengths of the trapezoid. Which formula can be used to find the length of b1?

4. ### fd

a trapezoid abcd has parallel sides ab and dc of lengths 8 and 22. If both diagonals AC and BD are of length 17, what is the area of the trapezoid

The bases of trapezoid $ABCD$ are $\overline{AB}$ and $\overline{CD}$. We are given that $CD = 8$, $AD = BC = 7$, and $BD = 9$. Find the area of the trapezoid.

2. ### GEOmetry!!.....

ABCD is a trapezoid with AB

3. ### Math

The bases of trapezoid ABCD are AB and CD. Let P be the intersection of diagonals AC and BD. If the areas of triangles ABP and CDP are 8 and 18, respectively, then find the area of trapezoid ABCD.

4. ### Geometry

In the diagram, EF is the median of trapezoid ABCD. If AB = 5x - 9, DC = x + 3, and EF = 2x + 2, what is the value of x?

1. ### Geometry

LM is the midsegment of trapezoid ABCD. If AB = 46 and DC = 125, what is LM?

2. ### math

If ABCD is a square whose edge measures 15, and DE = 8, then the area of trapezoid ABCE is: a) 105. b) 119. c) 120. d) 165. e) 187.

3. ### Geometry

Quadrilateral ABCD is a parallelogram. If adjacent angles are congruent, which statement must be true? A. Quadrilateral ABCD is a square. B. Quadrilateral ABCD is a rhombus. C. Quadrilateral ABCD is a rectangle. D. Quadrilateral

4. ### geometry

Isosceles trapezoid ABCD has legs AB and CD and base BC If AB = 7y – 4, BC = 4y – 6, and CD = 8y – 18, find the value of y.