+0  
 
-1
43
1
avatar

Quadrilateral ABCD has right angles at B and D, and AC = 3. If ABCD has two sides with distinct integer lengths, then what is the area of ABCD? Express your answer in simplest radical form.

 Aug 21, 2020
 #1
avatar+1042 
+3

Hint: If you draw the picture out, you will see that AC is a diagonal. (because no two right angles can be together without forming a rectangle)

 

Further Hint: This means that you have created two right triangles. What theorem do they follow? (Pythagorean?)

 

Even further hint: What are the only two integers that can create a hypotenuse of 3? (The two integers that are less then 3.....right?)

 

Even even further hint: Can you use a theorem to find the other sides?

 

In general, you should draw a shape of it has anything to do with geometry. Many geometry questions include shapes, but if there is not one, try drawing it yourself. You will see that it helps a LOT.

 

:)

 Aug 21, 2020

17 Online Users

avatar