CPM Homework Help : GC Problem 3-30

A triangle A, B, C where the legs are on the x and y axes. The right angle is at C (0, comma 0), A(0, comma 3), and B(5, comma 0). Examine the graph of line $\overleftrightarrow{AB}$ at right.

Find the equation of $\overleftrightarrow{AB}$ .
Hint (a):
Identify the slope and y-intercept from the graph and use the equation $y=mx+b$ to write the equation of the line.
Find the area and perimeter of $ΔABC$ .
Hint (b):
The area of a triangle is $(0.5)(\text{height})(\text{base})$ .
Find the length of the hypotenuse by using the given leg lengths and the Pythagorean Theorem.
Write an equation of the line through $A$ that is perpendicular to $\overleftrightarrow{AB}$ .
Hint (c):
The slope of a perpendicular line is negative the reciprocal of the original line.

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