Question

click twice to draw a line. click a segment to erase it. answer attempt 1 out of 2 leg 1: leg 2: hypotenuse: submit answer

Explanation:

Step1: Identify the lengths of the legs

The vertical distance (leg 1) between the two points is from $y = - 6$ to $y = 6$, so the length of leg 1 is $|6-(-6)|=12$. The horizontal distance (leg 2) between the two points is from $x=-8$ to $x = 1$, so the length of leg 2 is $|1 - (-8)|=9$.

Step2: Use the Pythagorean theorem

The Pythagorean theorem is $a^{2}+b^{2}=c^{2}$, where $a$ and $b$ are the legs and $c$ is the hypotenuse. Here $a = 9$, $b = 12$. Then $c=\sqrt{9^{2}+12^{2}}=\sqrt{81 + 144}=\sqrt{225}=15$.

Answer:

Leg 1: 12
Leg 2: 9
Hypotenuse: 15