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2 years ago

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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 i

s the total length of the trim she needs to paint? Round to the nearest unit.

1 answer:

Kisachek [45]2 years ago

5 0

Total length of the trim painted is 15.75 unit.

<u>Given:</u>

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

<u>Find:</u>

<em>Total length</em> of the trim painted

<u>Computation:</u>

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

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

Distance between AB = √16 + 4

<em>Distance between AB</em> = 2√5 unit = 4.47 unit

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

Distance between BC = √9 + 16

<em>Distance between BC</em> = 5 unit

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

Distance between AC = √1 + 36

<em>Distance between AC</em> = √37 unit = 6.08 unit

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

Total length of the trim painted = <em>15.75 unit (Approx.)</em>

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