One leg of an isosceles right triangle measures 5 inches. rounded to the nearest tenth, what is the approximate length of the hypotenuse?

Since it is isosceles right triangle, both legs = 5 inches.

using pythagoras theorem,

hypotenuse^2 = 5^2 +5^2 = 25+25 = 50
taking square root on both sides,
hypotenuse = sqrt 50  = 5 sqrt 2 or 7.071

rounded to nearest tenth,
length of hypotenuse is 7.1 inches.

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