Games
Problems
Go Pro!

# Make it Right!

Pro Problems > Math > Geometry > Analytic Geometry > Linear

## Make it Right!

The vertices of a right triangle are at A = (2, 2), B = (5, 4)  and C = (3, k). Find all possible values of k.

Presentation mode
Problem by Mr. Twitchell

## Solution

In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.
Assign this problem

## Similar Problems

### Bisecting Line

Find the equation of the line which has a positive slope, and bisects the angle between the lines y = 3x + 2 and y= -
1
2
x -
3
2

NOTE: The given solution provides two significantly different methods for solving this problem.  One method relies on the point-to-line distance formula; the other uses trigonometry.

### Perpendicular Lines

The slopes of two perpendicular lines add to
7
12
. If the line with a positive slope passes through the point (3,3), what is that line's equation?

### Angle Between Lines

The following information is known about lines A and B:

• Line A has a slope of
4
3
• Line B forms a 30º angle with line A

Find all possible values of the slope of line B.

### Coordinate Perimeter

Find the perimeter of a triangle formed by the lines whose equations are:

y = 3
x = 2
y = -
3
4
x +
15
2

# Featured Games on This Site

Match color, font, and letter in this strategy game
Mastermind variation, with words

# Blogs on This Site

Reviews and book lists - books we love!
The site administrator fields questions from visitors.