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 points

The two - points seem to be (-4, - 1) and (7,6).

Step2: Calculate the lengths of the legs

The length of leg 1 (vertical distance) is the difference in y - coordinates. Let $(x_1,y_1)=(-4,-1)$ and $(x_2,y_2)=(7,6)$. The length of leg 1 is $|y_2 - y_1|=|6-(-1)| = 7$. The length of leg 2 (horizontal distance) is the difference in x - coordinates, $|x_2 - x_1|=|7-(-4)|=11$.

Step3: Calculate the hypotenuse

Use the Pythagorean theorem $c=\sqrt{a^{2}+b^{2}}$, where $a = 7$ and $b = 11$. So $c=\sqrt{7^{2}+11^{2}}=\sqrt{49 + 121}=\sqrt{170}$.

Answer:

Leg 1: 7
Leg 2: 11
Hypotenuse: $\sqrt{170}$