What is the perimeter of triangle ABC if the coordinates of the vertices are A(2,-9), B(2,21), and C(74,-9)?

Abril Huynh

Abril Huynh

Answered question

2023-03-18

What is the perimeter of triangle ABC if the coordinates of the vertices are A(2,-9), B(2,21), and C(74,-9)?

Answer & Explanation

rygynguo0rk

rygynguo0rk

Beginner2023-03-19Added 13 answers

Using the formula for distance, we must determine the length of each side in order to determine the perimeter. The formula for calculating the distance between two points is:
d = ( x 2 - x 1 ) 2 + ( y 2 - y 1 ) 2
Length of A-B:
d A - B = ( 2 - 2 ) 2 + ( 21 - - 9 ) 2
d A - B = ( 2 - 2 ) 2 + ( 21 + 9 ) 2
d A - B = ( 0 ) 2 + 30 2
d A - B = ( 0 ) 2 + 30 2
d A - B = 30 2
d A - B = 30
Length of A-C:
d A - C = ( 74 - 2 ) 2 + ( - 9 - - 9 ) 2
d A - C = ( 74 - 2 ) 2 + ( - 9 + 9 ) 2
d A - C = 72 2 + 0 2
d A - C = 72 2 + 0
d A - C = 72 2
d A - C = 72
Length of B-C:
d B - C = ( 74 - 2 ) 2 + ( - 9 - 21 ) 2
d B - C = 72 2 + ( - 30 ) 2
d B - C = 5184 + 900
d B - C = 6084
d B - C = 78
Perimeter of A-B-C:
p A - B - C = d A - B + d A - C + d B - C
p A - B - C = 30 + 72 + 78
p A - B - C = 180

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?