Question

use the right triangle abc to find the length of the line segment between point a and point b. now, find the length of the other leg of this right triangle. what is the length of the line segment between point b and point c? label the length on the coordinate plane. a(7, 3), b(-2, -4), c(7, -4)

Explanation:

Step1: Identify coordinates of B and C

Point B is \((-2, -4)\), point C is \((7, -4)\).

Step2: Calculate horizontal distance (since y - coordinates are equal)

The formula for the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) when \(y_1 = y_2\) is \(|x_2 - x_1|\).
Substitute \(x_1=-2\), \(x_2 = 7\): \(|7 - (-2)|=|7 + 2| = 9\).

Answer:

9