Compare Square Diagonals vs Sides: 11-Unit Square Analysis

Question

Look at the square below:

Is the sum of the two diagonals greater than the sum of the 3 sides of the square?

00:00 Is the sum of diagonals greater than the sum of 3 sides of the square?

00:03 In a square, all sides are equal

00:07 We'll use the Pythagorean theorem in triangle BCD

00:11 We'll substitute appropriate values and solve for BD

00:23 This is the length of diagonal BD

00:27 In a square, the diagonals are equal

00:31 Let's calculate the sum of diagonals

00:36 We'll substitute appropriate values and solve for the sum

00:42 Let's calculate the sum of 3 sides of the square

00:49 We'll substitute appropriate values in the equation

00:56 And this is the solution to the question

False