Questions tagged [triangles]

For questions about properties and applications of triangles.

A triangle is a polygon with three sides. It is an important geometric figure, because any polygon can be subdivided into triangles.

Triangles can be classified by the number of sides they have that have equal length

  • All three sides of an equilateral triangle have equal length.
  • An isosceles triangle has at least two sides of equal length.
  • A scalene triangle is a triangle that is not isosceles, that is, it has no sides with equal length.

A triangle may also be classified by describing its angles. A triangle is said to be a right triangle if it contains a right angle, and obtuse triangle if it contains an obtuse angle, or an acute triangle if all three of its angles are acute.

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triangle inequality dividing e and seperating probabilities

I understand the first use of triangle inequality but I dont understand the last part where they divided e by 2 and put a greater than or equal too sign? why are we allowed to do that? triangle inequality
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On the relations between area and bisector of a triangle.

Let us imagine that we have triangle ABC. Now, let us construct a line going from the bisector of the angle B to line segment AC. Now, that line will hit the base precisely at the bisector of the base. Let us name the point of intersection,"D".…
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A disc (with its plane vertical) of radius 1m rotates about a horizontal axis passing through its center by 60 degrees.

If P was the highest point on the disc initially then finally P gets lowered by A)$\frac 14$m B)$\frac 12$m C)$\frac 13$m D)$\frac 35$m I am not able to understand the question, so it would be helpful if anyone can tell me the general idea of the…
Aditya
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Looking for Confirmation About Pythagorean Answers

$$\tan{\theta} = x$$ $\theta$ is in quadrant 2. Find values of the other 5 trig functions. My confusion is about $x$ having to be negative because of the $-x$ value, even though it says "$x$". $\sin{\theta} =…
anony1
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Prove Area Triangle ADF = Area Triangle BEF

Given the parallelogram ABCD, $\frac{AD}{AE}$ = $\frac{BF}{FA}$ and $\frac{area of \triangle ADF}{areaof \triangle AEF}$ = $\frac{AD}{AE}$ (or in other words $\frac{area of \triangle ADF}{areaof \triangle AEF}$ = $\frac{BF}{FA}$), prove that area…
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Find the two lengths of the triangle by the overall height of the triangle

Can you find the lengths of a / b by the overall height of the triangle? demonstration
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Find the shortest altitude of a triangle with the smallest angle of 30° and two sides containing it of lengths 6cm and 8$\sqrt{3}$cm?

I'm not really sure how to approach this problem, but since I have two sides and an angle maybe I could use area=$\frac{absin(C)}{2}$. What would be the best way to approach this problem?
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Calculate the position of Y when position X, distance to Y and the Angle is known

I'm trying to solve this problem: On a regular x/y grid, I have a point A located at position 2,7 (X,Y). I have to place a second point (B) on the grid (somewhere to the right of point A), but I only know the X coordinate of this point B, as well as…
user9460
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How large is the distance between centroids of two equilateral triangles

I have a problem. I have a triangle grid with a lot of equilateral triangles. Now I want to know what the distance is between two centroids. How can I do that? Here is a sample image of the grid:triangle grid
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Finding the difference between areas of triangles

The sum of areas of triangle A and B is 2600. What is the difference between the areas of B and D?
LanaDR
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Geometry - Straight lines and triangles

Let ABCD be a quadrilateral and X be the midpoint of BD .Prove that the area of AXCB is one half area of ABCD. The problem seems really easy ,however i am not able to prove it for any quadrilateral ,for parallelograms it is very simple Can someone…
user665323
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Producing orientation (yaw)

I am working with a car and trailer model which has a GPS sensor attached and I am looking for ways to calculate it's yaw (orientation). One way I am working on is two resolve both the car and trailer into coordinates and use them to find the…
Staph
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Area of a triangle when two sides and an angle is given

Can you find the area of a triangle if it's 2 sides are given and the angle formed by these sides are given?
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Possible lengths of an altitude of a triangle

I've been preparing for a competition and there is this problem that I cannot solve. Can you please help me and also tell me how to do similar problems if they appear in the future? Problem: Two of the altitudes of a triangle are 11 units and 10…
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Calculate coordinates of third point in a triangle (2D) knowing 2 points coordinates

Triangle I have 2 points v1 and v2. I have a length B. I can work out length A and therefore C if necessary. My aim is to find the coordinates of v3. I have tried a few different ideas but can't get the correct solution. Any ideas? Thank…
iain
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