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A rectangle has sides 10 and 8. Find the length of the Diagonal

1 Answer

4 votes

Answer:

Explanation:

Remark

The diagonal is found by using the Pythagorean Theorem: a^2 + b^2 = c^2. This only works for certain figures. The rectangle is one of them.

Givens

a = 10

b = 8

c = ? This is the length of the diagonal.

Solution

a^2 + b^2 = c^2

10^2 + 8^ = c^2

100 + 64 = c^2

c^2 = 164

√c^2 = √164

c = 12.806

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