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 in…

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asked Feb 9, 2019 161k views

2 Answers

Nick Wiltshire · Answer 1 · 2019-02-13T08:53:42+0000

Answer: 7.1 inches

Explanation:

Given: One leg of isosceles right triangle = 5 inches

Since 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 triangle

Now, by Pythagoras Theorem , we have

$H^2=5^2+5^2=25+25=50\\\\\Rightarrow\ H=√(50)=5√(2)\\\\\Rightarrow\ H==5*(1.41421356237)\\\\\Rightarrow\ H==7.07106781187\approx7.1\ inches$

Hence, the approximate length of the hypotenuse = 7.1 inches