Question

Ariel needs to paint the trim of a triangular box. If A (-2,4), B (2,2), and C (-1, -2) are the vertices of the triangle, what is the total length of the trim she needs to paint? Round to the nearest unit.

Answer 1

Total length of the trim painted is 15.75 unit.

Given:

• Co-ordinate of point A = (-2,4)
• Co-ordinate of point B = (2,2)
• Co-ordinate of point C = (-1,-2)

Find:

Total length of the trim painted

Computation:

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between AB = √(-2 - 2)² + (4 - 2)²

Distance between AB = √16 + 4

Distance between AB = 2√5 unit = 4.47 unit

Distance between BC = √(2 + 1)² + (2 + 2)²

Distance between BC = √9 + 16

Distance between BC = 5 unit

Distance between AC = √(-2 + 1)² + (4 + 2)²

Distance between AC = √1 + 36

Distance between AC = √37 unit = 6.08 unit

Total length of the trim painted = 4.47 + 5 + 6.08

Total length of the trim painted = 15.75 unit (Approx.)

Learn more:

brainly.com/question/17485880?referrer=searchResults