One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the hypotenuse? 2.5 inches 5.0 inches 7.1 inches 9.8 inches

Answer:  7.1 inchesStep-by-step explanation:Given: One leg of isosceles right triangle = 5 inchesSince in isosceles right triangle , two sides have same side length , therefore the length of the other leg should be 5 inches.Let H be the hypotenuse of the isosceles right triangleNow, by Pythagoras Theorem , we have[tex]H^2=5^2+5^2=25+25=50\\\\\Rightarrow\ H=\sqrt{50}=5\sqrt{2}\\\\\Rightarrow\ H==5\times(1.41421356237)\\\\\Rightarrow\ H==7.07106781187\approx7.1\ inches[/tex]Hence, the approximate length of the hypotenuse = 7.1 inches