Question about Canon Office Equipment & Supplies

# In triangle ABC, the bisector of B and C angle meet P. Through P a straight line MN is drawn parallel to BC. Prove that MN=BM+CN

Posted by on

• Level 3:

An expert who has achieved level 3 by getting 1000 points

Superstar:

An expert that got 20 achievements.

All-Star:

An expert that got 10 achievements.

MVP:

An expert that got 5 achievements.

• Master

Assuming M is the intersection of MN with AB, and N is the intersection of MN and AC:

Angle ACP = angle BCP (by definition)
Angle NCP = angle BCP (intersection of line with parallel lines produces equal angles)
Triangle CPN is isoceles (two equal angles), and line NP = CN

Same argument for line MP = BM

Therefore NP + MP (i.e, MN) = CN + BM

Posted on Sep 08, 2009

Hi,
a 6ya expert can help you resolve that issue over the phone in a minute or two.
Best thing about this new service is that you are never placed on hold and get to talk to real repairmen in the US.
the service is completely free and covers almost anything you can think of.(from cars to computers, handyman, and even drones)
Goodluck!

Posted on Jan 02, 2017

×

my-video-file.mp4

×

## Related Questions:

### If M is the midpoint of triangle ABC, ACB = 30degrees and BMA = 45 degrees, calculate the size of BAC in degrees.

Since M is the mid point of the triangle, the distance of M from A,B and C is equal which means AM = BM = CM.
Therefore, MAB = MBA. In triangle MAB, MAB=45 degrees.
sum of angles in a triangle = 180 deg. So, sum of angles MAB and MBA = 180 - BMA = 180 -45 = 135.
Since both MAB and MBA are equal , MAB = 135/2 = 67.5
In triangle AMC, MAC = MCA . Therefore MAC = 30/2 = 15 deg.
Therefore total BAC = MAC + MAB =82.5 deg.

May 19, 2017 | Homework

### Finding the area of a triangle in the coordinate Plane

I find the easiest way to solve these is to sketch them first (I'm a visual learner;) We get a nice right-angled triangle, with the right-angle at B. The formula for the area of a triangle is 1/2 * base* height or (base * height)/2.

We can use BC or AB as the base.

If we use BC as the base, the length is 9-4 or 5. The height is 6-2 or 4.

We can now but the base and the height in the formula to figure out the area.

Good luck.

Paul

Mar 19, 2015 | Office Equipment & Supplies

### Finding area of a Triangle in the Coordinate Plane

The area of a triangle is 1/2 times base times height. A sketch of the triangle in the coordinate plane will determine how easy or hard this will be to be. From the sketch, you will see that this is a right-angled triangle with B being the right-angle. This makes it easier because we can easily determine the base and the height to use in the formula.

We can chose AB or BC to be the base, while the other will be the height. If we choose the base of AB, its length is 4, the 6 - 2. The height is 9-(-4) or 13.

We can now put the length and height into the formula to calculate the area of the triangle.

Good luck.

Paul

Mar 19, 2015 | Office Equipment & Supplies

### Right Triangle ABC has vertices A (-4 2)B(-4 6) C (9 6)

The area of a triangle is 1/2 times base times height. A sketch of the triangle in the coordinate plane will determine how easy or hard this will be to be. From the sketch, you will see that this is a right-angled triangle with B being the right-angle. This makes it easier because we can easily determine the base and the height to use in the formula.

We can chose AB or BC to be the base, while the other will be the height. If we choose the base of AB, its length is 4, the 6 - 2. The height is 9-(-4) or 13.

We can now put the length and height into the formula to calculate the area of the triangle.

Good luck.

Paul

Mar 19, 2015 | Office Equipment & Supplies

### Draw a perpendicular bisector

It is a line that meets the first line at right angles (90 degrees, perpendicular) and cuts that first line exactly in half (bisect = to cut into 2 equal parts)

Sep 04, 2014 | Computers & Internet

### Triangle ABC is a aright angled triangle. ABD is a straight line DA=DC. Angle BCD =20 degree find x

How does x relate to anything else in the problem?

Consider a minor translation of the problem: There are three cars. One is white, one is black, and one is red. What color is the pickup truck?

Sep 16, 2013 | Office Equipment & Supplies

### Finding the centre of a circle

Draw two chords of the circle (any two chords will do, as long as they aren't parallel). One way to avoid parallel chords is to have them share an endpoint. Construct perpendicular bisectors of each chord. The center of the circle will be where the two bisectors intersect.

May 10, 2013 | Dremel Circle Cutter And Straight Edge...

### The height of equilateral triangle is 7root3cm find its perimeter

Let ABC be the equilateral triangle,
and PC be the line joining the mid point of A and C.
We know that equilateral triangle has equal angles which means

Now,
in triangle AHC
Sin(THETA) = AH/AC

That is...
Sin(60) = (7root3)/AC

or AC = (7root3)/Sin(60)

AC=14

Perimeter of equilateral triangle ABC = 3 x Side
= 3 x 14
= 42

Sep 03, 2010 | Computers & Internet

### What is the value of SIN15 degree and COS15 degree.....?

Hi rowanwah

The sine of an angle is only applicable is a right triangle. If you just want a number, ie, the actual value of the sine 15 degrees you can look it up on Google. Do a search for "sine and cosine functions"

If you want the mathematical description of the sine of an angle it is described as follows
In a triangle ABC, there are 3 angles angle A, angle B and angle C. There are also 3 sides, Side AB, Side AC and side BC. The sine of angle A is equal to the side opposite Angle A divided by the Hypotenuse (the longest side opposite the right angle)
The Cosine of angle A is equal to the side adjacent to Angle A divided by the hypotenuse

Hope this helps Loringh PS Please leave a rating for me Thanks

Nov 15, 2008 | Super Tutor Trigonometry (ESDTRIG) for PC

## Open Questions:

#### Related Topics:

165 people viewed this question

Level 3 Expert

Level 3 Expert