A community is building a square park with sides that measure 110 meters. To separate the picnic area from the play area, the park is split by a diagonal line from opposite corners. Determine the approximate length of the diagonal line that splits the square. Round your answer to the nearest tenth.

Respuesta :

Do a²+b²=c²
So 110²+110²=c²
√24200=c
155.6 m= length of diagonal line

A community is building a square park with sides that measure 110 meters. The length of the diagonal line is 155.6 m.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

A community is building a square park with sides that measure 110 meters.

To separate the picnic area from the play area, the park is split by a diagonal line from opposite corners.

From the Pythagoras' theorem;

a²+b²=c²

110²+110²=c²

√24200=c

155.6 m

The length of the diagonal line is 155.6 m.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

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