Answer
The triangle is represented in the following graph:
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Work Step by Step
- Result of Exercise 31(a):
$x = x_1 + (x_2-x_1)t$
and
$y = y_1 + (y_2 - y_1)t$
$0 \leq t \leq 1$
1. Determine the parametric equations that describe the line that joins the vertices A and B.
$A = (1,1)$ $B = (4,2)$
$x = 1 + (4 - 1)t = 1 + 3t$
$y = 1 + (2-1)t = 1 + t$
2. Repeat the process for B and C:
$C = (1,5)$
$x = 4 + (1-4)t = 4 - 3t$
$y = 2 + (5 - 2)t = 2 + 3t$
3. Finally, do it for C and A:
$x = 1 + (1-1)t = 1$
$y = 5 + (1 - 5)t = 5 - 4t$
