nk8osophiaren
contestada

Ashley draws a square that has a diagonal of
15 centimeters. What is the length of one side of the square? Round your answer to the nearest tenth.

Respuesta :

djsdoodle
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)

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:

[tex]x^{2} +x^{2} =15^{2}[/tex]

=> [tex]2x^{2} =225[/tex]

=> [tex]x^{2} =112.5[/tex]

=> [tex]x=\sqrt{112.5}[/tex]

x = 10.60

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

Otras preguntas