Answer:
A. 12.21
Step-by-step explanation:
Define and explain:
This a right triangle, so the Pythagorean Theorem applies. The Pythagorean Theorem states that the sum of the squared legs is equal to the squared hypotenuse.
The legs of a triangle are the sides that form the right angle.
The hypotenuse is the longest side.
Formula:
[tex]a^2+b^2=c^2[/tex]
[tex]a,b-legs[/tex]
[tex]c-legs[/tex]
Here, I am solving for the hypotenuse.
[tex]7^2+10^2=c^2[/tex]
[tex]49+100=c^2[/tex]
[tex]149=c^2[/tex]
The last step is to find the square root of 149.
The square root of 149 is irrational, of course, so I must round the square root to the nearest hundredth.
[tex]12.2065556157[/tex] ≈ [tex]12.21.[/tex]
[tex]12.21=c[/tex]
Conclude:
I, therefore, believe the length of the hypotenuse is 12.21.
