Question

what is the length of the hypotenuse of a right triangle whose legs are 5 and the square root of two

Answer 1

The length of the hypotenuse is 5.1961524227066

Explanation

To begin with, you need to use Pythagorean Theorem (a^2+b^2=c^2)

5 becomes 25

Solve for the square root first which is 1.414213562 and this becomes 2

So you add this two numbers and it will give you 27

Square root 27 and its 5.196152423

You can check it using this equation

5^2+square root of 2^2=5.196152423^2

Answer 2

To begin with, you need to use Pythagorean Theorem (a^2+b^2=c^2)
5 becomes 25
Solve for the square root first which is 1.414213562 and this becomes 2
So you add this two numbers and it will give you 27
Square root 27 and its 5.196152423
You can check it using this equation
5^2+square root of 2^2=5.196152423^2

The length of the hypotenuse is 5.1961524227066

~Revilla03