he side lengths are the lengths of the line egments AB, BC, and CA. These may be found using the endpoints of the segments with the distance formula:
The distance from point P(x1,y1) to point Q(x2,y2) is:
Distance = √ ( (x2 - x1)2 + (y2 - y1)
It is a good learning exercise to plug in all the numbers. Then, you will realize that some x-values or y-values are the same (you would also see this if you graphed the triangle).
AB = 3
BC = 5
CA = 4
Also, note that 3-4-5 are integer side lengths for a right triangle. The integer triples that satisfy the Pythagorean Theorem are called Pythagorean Triples. They appear in many, many homework problems and in standardized tests.
Answers & Comments
he side lengths are the lengths of the line egments AB, BC, and CA. These may be found using the endpoints of the segments with the distance formula:
The distance from point P(x1,y1) to point Q(x2,y2) is:
Distance = √ ( (x2 - x1)2 + (y2 - y1)
It is a good learning exercise to plug in all the numbers. Then, you will realize that some x-values or y-values are the same (you would also see this if you graphed the triangle).
AB = 3
BC = 5
CA = 4
Also, note that 3-4-5 are integer side lengths for a right triangle. The integer triples that satisfy the Pythagorean Theorem are called Pythagorean Triples. They appear in many, many homework problems and in standardized tests.
Perimeter= 3 + 5 + 4 = 12.