Saturday

January 31, 2015

January 31, 2015

Posted by **Anonymous** on Thursday, December 27, 2012 at 12:56pm.

- maths -
**Reiny**, Thursday, December 27, 2012 at 2:19pmA rather lengthy problem

I will describe the steps

1. Find the vertices of the triangle A, B, and C by solving pairs of equations.

2. Find the slope of line AB. The slope of the perpendicular form C to line AB will be the negative reciprocal of the slope of AB.

You now have the slope of that altitude and a point on it, namely point C

3 . Find the equation of the altitude from C to AB using the form y = mx + b

4. Repeat the procedure of #2 for the altitude from A to BC

5. Solve the two equations from #3 and #4

that point will be your orthocentre.

notice we did not use the altitude from B to AC

You could verify your answer is correct by finding that third altitude and solving it with one of the other two. You WILL get the same answer unless you made a mistake.

**Answer this Question**

**Related Questions**

maths - find the perimeter of an equilateral triangle whose sides are:4 x rays ...

Math (Pre-Cal) - There is exactly one triangle the length of whose sides are ...

maths - 2 equal sides of a triangle are 4m less than 3 times the third side find...

Maths - 2equal sides of triangle r4m less than 3times the third side find the ...

maths - the equation of the perpendicular bisectors of sides AB and AC of a ...

maths - the perimeter of an isosceles triangle whose base is 11cm is 39. one of ...

10th grade Math - Triangle POB has vertices: P(0 , 4) O(-3 , 0) B(3, 0). ...

Math - If all of the following triangles have the same perimeter, which has the ...

MATHS - Find the lengths of the missing sides in the triangle. Write your ...

Math - A triangle whose sides are 5, 12, and 13 inches is similar to a triangle ...