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aalyn [17]
3 years ago
11

What is the length of the diagonal of a square with side length 50\sqrt{2} cm? Express your answer in simplest form.

Mathematics
1 answer:
jenyasd209 [6]3 years ago
5 0

Answer:

Length of diagonal = 100 cm

Step-by-step explanation:

Given:

Side length of square = 50\sqrt{2}   cm

Using pythagorean theorem:

Sum of squares of sides = Square of Diagonal

( 50\sqrt{2} )^2 + ( 50\sqrt{2} )^2 = x^2

Solving for x:

x^2 = 10000\\x = 100

Therefore,

Length of diagonal = 100 cm

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Step-by-step explanation:

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