Question

Find the perimeter of this triangle.

Answer 1

Answer:

• 15.67 units

Step-by-step explanation:

Points on the graph:

• (3,6), (7,3) and (10,5)

Perimeter is the sum of side lengths

Side length is the distance between points

Distance is found by the distance formula:

• d = $\sqrt{(x2-x1)^2 + (y2-y1)^2}$

Sides:

• 1. $\sqrt{(7-3)^2 + (3-6)^2}= \sqrt{16+9} = 5$
• 2. $\sqrt{(10-3)^2 + (5-6)^2} = \sqrt{49 + 1} = \sqrt{50}$ = 7.07
• 3. $\sqrt{(10-7)^2 + (5-3)^2} =\sqrt{9 + 4} =\sqrt{13}$ = 3.60

Perimeter:

• P = 5 + 7.07 + 3.6 = 15.67