Question

(-7,8) and (2,1)
click twice to draw a line. click a segment to erase it.
answer attempt 2 out of 2
leg 1: leg 2: hypotenuse: submit answer

Explanation:

Step1: Find the lengths of the legs

The horizontal distance (leg 1) between the points $(-7,8)$ and $(2,1)$ is the difference in x - coordinates. $|2-(-7)|=|2 + 7|=9$. The vertical distance (leg 2) is the difference in y - coordinates. $|1 - 8|=7$.

Step2: Use the Pythagorean theorem to find the hypotenuse

The Pythagorean theorem is $a^{2}+b^{2}=c^{2}$, where $a = 9$, $b = 7$. So $c=\sqrt{9^{2}+7^{2}}=\sqrt{81 + 49}=\sqrt{130}$.

Answer:

Leg 1: 9
Leg 2: 7
Hypotenuse: $\sqrt{130}$