Proof math problem help? Please help if you can!
posted by Knights .
Let AB be the diameter of a circle, and let point P be a point on AB. Let CD be a chord parallel to AB. Prove that PA^2 + PB^2 = PC^2 + PD^2
It can be solved using geometry methods (no trig). Anyway, I figured out that PA^2 +PB^2 = 2OP^2 + 2OB^2. However, I cannot find right triangles to help to find PC^2+PD^2. Oh, and I got a hint: "The problem involves sums of squares of lengths. What should you be looking for (or building) in the problem?"
Thanks in advance
Respond to this Question
Similar Questions

Geometry
Prove that the tangents to a circle at the endpoints of a diameter are parallel. State what is given, what is to be proved, and your plan of proof. Then write a twocolumn proof. Hint draw a DIAGRAM with the points labeled. Can some … 
math
The equation of a circle with centre O(0,0) is x^2+y^2=40. The points A(2,6) and B(6,2) are endpoints of chord AB. DE right bisects chord AB at F. a)Verify that the centre of the circle lies on the right bisector of chord AB. b)Find … 
Coordinate Geometry
Hi! Can you please help me with this problem/proof? 
Coordinate Geometry: Ms.Sue or someone please help
Hi! Can you please help me with this problem/proof? 
Coordinate Geometry: Ms.Sue or someone please help
Hi! Can you please help me with this problem/proof? 
Circle geometry
Please help Explain how I figure this out. A circle has diameter 70cm. A chord in the circle is 50cm long. How far is the chord from the center of the circle? 
math
1. A(3;4) is a point on a circle with centre at the origin. a.determine the coordinates of B, if AB is a diameter. b. Show that point C(0;5) lies on this circle. c.show that ACB has a magnitude of 90degrees. 2.a.ddetermine the equation … 
math
Is the following statement true or false? 
MATH HELP MS SUE OR SOMEONE
Is the following statement true or false? 
math
AB is a chord of a circle with center O, C is the midpoint of the chord AB, extend OC to the point D on the circle. If OC=CD, what is the measure of angle AOB?