Is the triangle a right triangle? Why or why not? A right triangle with sides labeled 7 miles, 12 miles, and 14 miles.

No, because 7^2+12^2=14^2.

No, because 7^2+12^2≠14^2.

Yes, because 7^2+12^2=14^2.

Yes, because 7^2+12^2≠14^2.

Investigate The Pythagorean Theorem
Please explain!

x/3-10=8

x/3=18

x=48

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.

it would open into a square depending on the type of envelope i’m not sure about the second part

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.