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Answer :
The approximate perimeter of triangle KLM with vertices K(−2, −3), L(−2, −1), and M(6, −1) is 18.25 units, found by summing the lengths of sides KL, LM, and MK.
To calculate the perimeter of triangle KLM with vertices at K(−2, −3), L(−2, −1), and M(6, −1), we need to find the lengths of sides KL, LM, and MK using the distance formula:
distance = √((x2−x1)² + (y2−y1)²)
Side KL is vertical, so its length is the difference in the y-coordinates, which is:
|−1 − (−3)| = 2 units
Side LM is horizontal, and its length is the difference in the x-coordinates, which is:
|6 − (−2)| = 8 units.
For side MK, we apply the distance formula:
√((6−(−2))² + (−1−(−3))²) = √(64 + 4) = √68 ≈ 8.25 units.
The approximate perimeter of triangle KLM is the sum of these lengths:
2 + 8 + 8.25 ≈ 18.25 units.
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