The triangle in the figure has vertices at points P(0, 0), Q(0, 6.5), and R(3, 2). What is the perimeter of the triangle?
Question
The triangle in the figure has vertices at points P(0, 0), Q(0, 6.5), and R(3, 2). What is the perimeter of the triangle?
Solution
To find the perimeter of the triangle, we need to find the length of all three sides and add them together.
-
The length of side PQ can be found using the distance formula, or simply by subtracting the y-coordinates since the x-coordinates are the same. So, PQ = 6.5 - 0 = 6.5 units.
-
The length of side PR can be found using the Pythagorean theorem since this is a right triangle (one point is at the origin). So, PR = sqrt((3-0)^2 + (2-0)^2) = sqrt(9 + 4) = sqrt(13) units.
-
The length of side QR can also be found using the Pythagorean theorem. So, QR = sqrt((3-0)^2 + (6.5-2)^2) = sqrt(9 + 20.25) = sqrt(29.25) units.
Finally, add up all three sides to get the perimeter: 6.5 + sqrt(13) + sqrt(29.25) units.
Similar Questions
The triangle in the figure has vertices at points P(0, 0), Q(0, 6.5), and R(3, 2). What is the area of the triangle? Group of answer choices11.79.819.419.5
The triangle in the figure has vertices at points P(0, 0), Q(0, 6.5), and R(3, 2). Classify the triangle by its angles
The points P(0, 6), Q(-5, 3) and R( 3,1) are the vertices of a triangle, which is
The points P(3, –2), Q(10, –2), and R(3, –8) are the vertices of a triangle. What is the approximate length of side RQ?
The perimeter of a triangle with vertices (0, 4); (0, 0) and (3, 0) is:
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.