Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0). Part A: Find the length of each side of the triangle. Sho

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Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0). Part A: Find the length of each side of the triangle. Sho

w your work. (4 points) Part B: Find the slope of each side of the triangle. Show your work. (3 points) Part C: Classify the triangle. Explain your reasoning. (3 points)

Geography

1 answer:

ArbitrLikvidat [17] · Answer 1 · 2023-03-29T18:15:50+03:00

The length of the sides of the triangle are; √5, √17 and √18, the slopes are; (1/2), -4 and -1.

<h3>What are the lengths of the sides of the triangle?</h3>

According to coordinates of the vertices given; it follows that the length of each side can be evaluated as follows;

Side RS = √((4-2)² + (4-3)²) = √5

Side ST = √((5-4)² + (0-4)²) = √17

Side TR = √((5-2)² + (0-3)²) = √18

The slopes can be evaluated as;

Slope RS = (4-3)/(4-2) = 1/2

Slope ST = (0-4)/(5-4) = -4

Slope TR = (0-3)/(5-2) = -1.

Since, none of the lines are equal and the slopes do not indicate perpendicular lines, it follows the triangle RST is scalene.