SOLUTION: http://prntscr.com/a23h3z So, I'm aware I have to use the distance formula. For (-b,c) and (a,0) I got [sqroot (a+b)^2+(D-c)^2)] after simplifying it, but I don't know how to si

Question 1019335: http://prntscr.com/a23h3z
So, I'm aware I have to use the distance formula.
For (-b,c) and (a,0) I got [sqroot (a+b)^2+(D-c)^2)] after simplifying it, but I don't know how to simplify any further. The same thing foes for [sqroot (-a-b)+(0-c)]. I don't know how to simplify these with the distance formula like I do if they were numbers because they're coordinates. A little help and explanation would be nice.
Answer by ikleyn(52864) (Show Source): You can put this solution on YOUR website!
.
http://prntscr.com/a23h3z
So, I'm aware I have to use the distance formula.
For (-b,c) and (a,0) I got [sqroot (a+b)^2+(D-c)^2)] after simplifying it, but I don't know how to simplify any further. The same thing foes for [sqroot (-a-b)+(0-c)]. I don't know how to simplify these with the distance formula like I do if they were numbers because they're coordinates. A little help and explanation would be nice.
-------------------------------------------------------

The answer is .

For the solution, first draw the diagonal from (-a,0) to (b,c).

Then draw the perpendicular from the point (b,c) to the base of the trapezoid.

You will get a right-angled triangle with the horizontal leg length (a + b) and the vertical leg length c. 

The diagonal of the trapezoid is the hypotenuse of this triangle,

and its length is .

Same is the length of the other diagonal.

RELATED QUESTIONS
http://prntscr.com/a5xl25 So, I know I have to use the distance formula, and the points... (answered by rothauserc)

Okay I have to graph the points A(-5,0) , B(3, 2) C(5, 6) and D(-3 4). Then show that... (answered by rothauserc)

I HAVE A COUPLE QUESTIONS HERE: #1 Find the slope, x, and y- intercepts for x = -3 The... (answered by Alan3354)

What are the foci of the ellipse with equation (x^2/100)+(y^2/64)=1 a.(0,+or- sqroot of... (answered by Nate)

Please help if a=2, b=3, c=-4, d=-1 and e=0 (a/b)^2 - (c/d)^3 As I have no idea how (answered by checkley71)

Can someone help verify this: consider the equation (5/2) cos2x - 1/2 =3 sinx. A) Put... (answered by Alan3354)

http://prntscr.com/a5xl25 Coordinate geometry. So, I know I have to use the distance... (answered by Theo)

14 people are registering to an event in a random order. What is the probability of 3... (answered by ikleyn)

Hi! I have a homework that says: solve the following quadratic equations by factoring. (answered by KMST)