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What is the length of the diagonal of a square of side 8cm, after getting your answer, put it in one decimal place. 13.1cm 12cm 11.4cm 11.3cm

Respuesta :

Answer:

11.3 cm

Step-by-step explanation:

The diagonal d divides the square into 2 right triangles with legs 8 and hypotenuse the diagonal d.

Using Pythagoras' identity in one of the right triangles, then

d² = 8² + 8² = 64 + 64 = 128 ( take square root of both sides )

d = [tex]\sqrt{128}[/tex] ≈ 11.3 cm

ujalakhan18

Answer:

[tex]\huge\boxed{c = 11.3 cm}[/tex]

Step-by-step explanation:

Using Pythagorean Theorem:

[tex]c^2 = a^2 + b^2[/tex]

Where  c is the length of diagonal and a and b are the sides of the square

[Remember that all sides of the square are equal]

=> [tex]c^2 = 8^2 + 8^2[/tex]

=> [tex]c^2 = 64+64\\[/tex]

=> [tex]c^2 = 128[/tex]

Taking sqrt on both sides

=> c = 11.3 cm

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