Square Geometry: Comparing Diagonal Sums vs. Triple Side Length

777

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

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00:07 Is the sum of the diagonals greater than the sum of three sides of the square?
00:13 Remember, in a square, all sides are equal.
00:17 Let's use the Pythagorean theorem to find diagonal B D in triangle B C D.
00:24 We'll substitute the appropriate values to solve for B D.
00:29 This gives us the length of diagonal B D.
00:32 In a square, both diagonals are equal.
00:36 Let's calculate the sum of the diagonals.
00:39 Now, we'll substitute values to find their sum.
00:49 Next, let's calculate the sum of three sides of the square.
00:56 We'll put the right values into our equation.
01:04 And this gives us the answer to our question. Great job!

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1

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777

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

3

Final Answer

No

Practice Quiz

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Consider a right-angled triangle, AB = 8 cm and AC = 6 cm.
Calculate the length of side BC.

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