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maria [59]
4 years ago
9

Ashley draws a square that has a diagonal of

Mathematics
2 answers:
Degger [83]4 years ago
8 0

Answer:

The length of one side of the square is approx 10.6 cm.

Step-by-step explanation:

Ashley draws a square that has a diagonal of  15 centimeters.

As it is a square, it will have 4 sides equal.

Now when a diagonal is drawn using 2 sides of the square, then it will form a right triangle with 2 sides as (suppose x) and hypotenuse as 15.

Solving this question using Pythagoras formula we get:

x^{2} +x^{2} =15^{2}

=> 2x^{2} =225

=> x^{2} =112.5

=> x=\sqrt{112.5}

x = 10.60

Hence, the length of one side of the square is approx 10.6 cm.

xz_007 [3.2K]4 years ago
5 0
The diagonal is the hypotenuse of a right triangle with the sides of the square as legs.
By Pythagoras (s = side)
s^2 + s^2 = 15^2
2s^2 = 225
s^2 = 112.5
s = sqrt(112.5)
s = 10.6 cm (to the nearest tenth)
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