Slope and Perimeter of a triangle

cam_ddrt · #1 $Old$ May 22nd, 2009, 07:33 PM

Please help me with these questions. Any help would be greatly appreciated!

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.

Shyam · #2 $Old$ May 22nd, 2009, 07:40 PM

Quote:

Originally Posted by cam_ddrt $View Post$

Please help me with these questions. Any help would be greatly appreciated!

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.

Shyam · #3 $Old$ May 22nd, 2009, 07:45 PM

Quote:

Originally Posted by cam_ddrt $View Post$

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.