Diagonals that bisect each other are perpendicular and form a right angle.
AEB is a right triangle.
We can apply the Pythagorean theorem:
c^2 = a^2+b^2
Where c is the hypotenuse (longest side) and a and b the other 2 legs.
Replacing:
AB^2 = AE^2+BE^2
AB^2 = 5^2+12^2
AB^2 = 25+144
AB^2 = 169
AB=√169 = 13
Lenght of AB= 13
BE= 6. I had this question not too long ago. Hope this helps. :)
Answer:
21+/-sqrt(253)=x
So one value for x is 21+sqrt(253)
and another is 21-sqrt(253)
Problem:
Given (21,7) and (x,1), find all x such that the distance between these two points is 17.
Step-by-step explanation:
Change in x is x-21
Change in y is 7-1=6
distance^2=(change in x)^2+(change in y)^2
17^2=(x-21)^2+(6)^2
289=(x-21)^2+36
Subtract 36 on both sides:
289-36=(x-21)^2
253=(x-21)^2
Take square root of both sides:
+/-sqrt(253)=x-21
Add 21 on both sides:
21+/-sqrt(253)=x
Answer:
D (2, 1)
Step-by-step explanation:
Fir an in-detailed representation, image below
- Started with plotting the given center (yellow)
- From the center: go 5 units up, down, right and left (light blue)
- You will have 5 points plotted now
- connect the light blue dots to form a circle (red, not to scale!)
- Now, locate every choice point, which one is on the red line?
- D!!!!!
Learn more about Circles here: brainly.com/question/10368742