Question

A triangle has vertices a(1,1), b(2,4), and c(4,2). Line p is parallel to side AB and contains point C. Write an equation for line p.

Part 1. Find the slope of ab



Use the slope of part 1and point c to write an equation for line p in slope-intercept form.

Answer 1

2. Given the points A, B, C, D, calculate:

(a) the angle B of the triangle ABC

(b) the area of the triangle ABC

(c) the median BE of the triangle ABC

(d) the height AH of the triangle ABC

(e) the volume of tetrahedron ABCD

(f) the point E so that ABCE is a parallelogram.

A(-1, 2, -3), B(4, -1, 0), C(2, 1, -2), D( 3,4,5)​

Explanation: