How many different triangle can you make if you are given these three lengths for sides?
Given any three line segments, either you can form a triangle (exactly one) or you cannot form a triangle. So if it is possible to form the triangle, there can be only one. Regardless of the lengths.
How many different triangles can you make if you are given the measurements for two angles?
It is possible to draw more than one triangle has the side length and angle measures as given. Depending on which end of the line you draw the angles, and whether they are above or below the line, four triangles are possible. All four are correct in that they satisfy the requirements, and are congruent to each other.
How many triangles can be formed with side lengths?
This will depend upon the size of the sides and the given angle. ASA i.e. when a side and any two angles are given, only one triangle can be formed.
How many triangles can you make if you are given these three measurements for angles?
Expert Answers Given the three angles of a triangle, only ONE distinct triangle can be formed. We can use dilation to scale up or scale down and make an infinite number of triangle, based on this set of angles, all such triangles will be similar to each other.
How many triangles can you make with 2 sides?
The “Ambiguous Case” (SSA) occurs when we are given two sides and the angle opposite one of these given sides. The triangles resulting from this condition needs to be explored much more closely than the SSS, ASA, and AAS cases, for SSA may result in one triangle, two triangles, or even no triangle at all!
How many different triangles are there?
The six types of triangles are: isosceles, equilateral, scalene, obtuse, acute, and right.
How many triangles can be constructed with sides measuring 1’m 2 m and 2 m?
one triangle
Hence, only one triangle can be constructed with sides measuring \[1\] m, \[2\]m and \[2\]m.
What is the ASA formula?
ASA formula is one of the criteria used to determine congruence. “if two angles of one triangle, and the side contained between these two angles, are respectively equal to two angles of another triangle and the side contained between them, then the two triangles will be congruent”.
Can 3 lengths make a triangle?
Can any three lengths make a triangle? The answer is no. The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third.
What measurements make multiple triangles?
In general, a unique triangle may always be drawn if three side lengths are given and the sum of any two is greater than the third. c) More than one triangle can be drawn with Angle A = 40°, Angle B = 60° and Angle C = 80°. The angles sum to 180°, so at least one triangle may be drawn.
How do you solve a triangle puzzle?
Starts here3:25How to Solve Number Puzzles in Triangular Form – YouTubeYouTube
How do you make different triangles?
Starts here3:17What are the Different Types of Triangles? | Don’t MemoriseYouTube
How many possible triangles can you make with four sticks?
Notice that there are no possible triangles with four sticks. Holly from Anston Brook Primary School said: If you try to make four it will end up as two lines.
What are the rules for making equilateral triangles?
In addition, Ellie, Emma, Olivia and Ibrahim from Lakeside looked at “rules” for being able to make equilateral triangles: If the number of sticks is a multiple of three, an equilateral triangle can be made because if the number is divisible by the number of sticks making each side will be the same.
What is an example of the triangle inequality?
For example, you may be able to see that, for this task with sticks, the triangle inequality means that the length of any side cannot be greater than half of the total number of sticks. If the length of a side used is more than half of the total number of sticks, this would not agree with the triangle inequality, and a triangle could not be made.
How do you find the longest side of a triangle?
If you try to make four it will end up as two lines. Children from Riversdale Primary School examined the “rules” for the longest side of any triangle: We discovered that the longest side of any triangle could be found by taking one away and dividing by two for an odd number and by dividing by two and then taking one away for an even number.