To find the lengths of the sides of a triangle with the given vertices, we can use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using this formula, we can find the lengths of the sides:
Side 1: (0, 0) to (5, 0)
d1 = sqrt((5 - 0)^2 + (0 - 0)^2)
= sqrt(25 + 0)
= sqrt(25)
= 5
Side 2: (5, 0) to (5, 12)
d2 = sqrt((5 - 5)^2 + (12 - 0)^2)
= sqrt(0 + 144)
= sqrt(144)
= 12
Side 3: (5, 12) to (0, 0)
d3 = sqrt((0 - 5)^2 + (0 - 12)^2)
= sqrt(25 + 144)
= sqrt(169)
= 13
Therefore, the lengths of the sides of the triangle are 5, 12, and 13. The correct answer is 5, 12, 13.
Find the lengths of the sides of a triangle with vertices: (0, 0), (5, 0), (5, 12).
graph
(1 point)
Responses
5, 12, 12
5, 12, 12
5, 5, 12
5, 5, 12
5, 12, 5
5, 12, 5
5, 12, 13
5, 12, 13
1 answer