Question

(-2, -4) and (5, 8) 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 points is the difference in y - coordinates. Given points (-2,-4) and (3,8), leg 1 = |8 - (- 4)|=12.

Step2: Identify the length of the other leg

The horizontal distance (leg 2) between the points is the difference in x - coordinates. Leg 2 = |3-(-2)| = 5.

Step3: 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 \(a = 5\), \(b = 12\). Then \(c=\sqrt{5^{2}+12^{2}}=\sqrt{25 + 144}=\sqrt{169}=13\).

Answer:

Leg 1: 12
Leg 2: 5
Hypotenuse: 13