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Look at the rectangle and the square:
Anna says that the length of diagonal SQ is two times the length of diagonal OM.

Is Anna correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.

Look at the rectangle and the square Anna says that the length of diagonal SQ is two times the length of diagonal OM Is Anna correct Justify your answer and sho class=

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Finding the Length of the Diagonals

Rectangle PQSR

Diagonal SQ, using the Pythagorean Theorem (a^2 + b^2 = c^2), would be equal to:

14^2 + 7^2 = c^2 (Where c is the hypotenuse;)

196 + 49 = c^2

Square root of 245 = c

15.6 inches.

Square LMON

Diagonal OM, using the Pythagorean Theorem (a^2 + b^2 = c^2), would be equal to:

7^2 + 7^2 = c^2 (Where c is the hypotenuse;)

49 + 49 = c^2

Square root of 98 = c

9.9 inches.

Finding the Diagonal Relation

9.9 * 2 = 19.8

19.8 is not equal to diagonal SQ.

9.8 is therefore not two times the length of 15.6, so Anna is incorrect.

Anna says that the length of diagonal SQ is two times the length of diagonal OM which is incorrect.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Look at the rectangle and the square:

Anna says that the length of diagonal SQ is two times the length of diagonal OM.

The diagonal is given by the Pythagoras theorem.

Diagonal SQ will be

SQ² = QR² + SR²

SQ² = 7² + 14²

SQ = 15.65 inches

Diagonal OM will be

OM² = ON² + MN²

OM² = 7² + 7²

OM = 9.899 inches

Twice of OM will be

⇒ 2 x OM

⇒ 2 x 9.899

⇒ 19.798 which is not equal to SQ.

Anna says that the length of diagonal SQ is two times the length of diagonal OM which is incorrect.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

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