Square Diagonal Problem: Comparing BD and AC Distances in a 4 cm Square

Question

A square has side lengths

equal to 4 cm.

Is the distance between BD and AC equal to the length of BD?

444AAABBBDDDCCC

Video Solution

Solution Steps

00:00 Is CD equal to BD?
00:03 In a square all angles are right angles
00:14 The distance between AC and BD is side CD
00:19 In a square all sides are equal
00:28 Let's substitute the side length according to the given data
00:35 Since all sides are equal, CD equals BD
00:44 And this is the solution to the question

Step-by-Step Solution

Firstly, let's think about the properties of a square—remembering that all sides are equal to each other.

In other words, all sides in the square are equal to 4 cm. As a result, we can determine that the distance between BD and AC is indeed equal to 4 since CD is also equal to 4.

Answer

Yes


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