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Find the length of side c

Find the length of side c-example-1

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The length of side AB is (√2 / 2)√22.

In a 45-45-90 triangle ABC, the ratio of the lengths of the sides is x : x : x√2.

Since side BC is √11, we can set up the equation x√2 = √11, and solve for x.

Dividing both sides of the equation by √2, we get x = √11/√2.

Rationalizing the denominator by multiplying both the numerator and denominator by √2, we get x = (√11 x √2) / (√2 x √2)

x= √22/2

x = (√2 x √11) / 2

x = (√22 / 2)√2

x = (√2 / 2)√22.

Therefore, side AB is (√2 / 2)√22.

The probable question may be:

IN 45-45-90 triangle ABC, side AB=x, side BC=\sqrt11, Find the length of side AB

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