# geometry

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An isosceles right triangle has a hypotenuse of 8 units. What is the length, in units, of one the legs? Round your answer to the nearest hundredth if necessary.

• geometry -

An isosceles triangle is a triangle having at least two congruent sides.

In a right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs.

Thus, c^2 = a^2 + b^2

Therefore, since a = b, or x = x, in your problem
8^2 = x^2 + x^2

Solve this equation for x for your answer

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