# Slope and Perimeter of a triangle

• May 22nd 2009, 05:33 PM
cam_ddrt
Slope and Perimeter of a triangle

1. Find the slope of the line through the point (2,5) that is perpendicular to the line 2x-3y+6=0.

2. The length of one of the legs of a right triangle is 3 ft. Express the perimeter, P, of the triangle in terms of the length, L, of the other leg.
• May 22nd 2009, 05:40 PM
Shyam
Quote:

Originally Posted by cam_ddrt

1. Find the slope of the line through the point (2,5) that is perpendicular to the line 2x-3y+6=0.

Write the given equation 2x-3y+6=0, in the form of y = mx +b, where m is the slope and b is y-intercept.

Then, the slope of perpendicular line will be negative reciprocal of this slope.

The perpendicular slope $=\frac{-1}{m}$

Finish it.
• May 22nd 2009, 05:45 PM
Shyam
Quote:

Originally Posted by cam_ddrt
2. The length of one of the legs of a right triangle is 3 ft. Express the perimeter, P, of the triangle in terms of the length, L, of the other leg.

The two sides are 3 ft and L

Find hypotenuse, h, using Pythagorean Theorem,

$h^2=3^2+L^2
$

$h=\sqrt{9+L^2}$

Now write perimeter. Finish it.