Determining if a Parallelogram ABCD with Measurements 26 and 64 is a Rectangle

Question

Is the parallelogram below a rectangle?

AAABBBCCCDDD2664

Video Solution

Solution Steps

00:00 Is the parallelogram a rectangle?
00:04 A rectangle is a parallelogram with a right angle
00:07 Let's calculate the angle and check, if it's right then it's a rectangle
00:10 The angle is right therefore the parallelogram is a rectangle
00:13 And this is the solution to the question

Step-by-Step Solution

Let's calculate angle B:

64+26=90 64+26=90

The parallelogram in the drawing is indeed a rectangle since a parallelogram with at least one right angle is a rectangle.

Answer

Yes