Question

2. When the length of each leg is 1 unit, the ratio of the hypotenuse to the leg is:

Answer 1

Answer:

$\frac{\sqrt{2} }{1} , or \sqrt{2} : 1$

Step-by-step explanation:

Let x= Length of Hypotenuse

According to Pythagorean Theorem:  $A^{2} +B^{2} =C^{2}$, Where A and B are the legs, and C is the hypotenuse.

We are given that both legs are 1 unit.

Through Substitution:

$1^{2} + 1^{2} =x^{2} \\1+1=x^{2} \\2=x^{2} \\\sqrt{2} =x$

So we know the Hypotenuse, let us create the ratio:

$\frac{\sqrt{2} }{1} =\frac{Hypotenuse }{Leg}$

So there you have it!

P.S.(can also be expressed as: $\sqrt{2}:1$)

Answer 2

Answer:

It is 1.4

Step-by-step explanation:

I got it right on ed.