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Why are similar triangles the basis for trigonometry?
That's the definition of trigonometry. Triangles are completely dependent upon their side lengths, and can be defined by only three values.
Why do similar triangles have the same trigonometric ratios?
Trigonometric ratios are characteristics of angles, not of lengths. And, by definition, the corresponding angles an similar triangles have the same measures.
What is the difference between angles of trigonometry and angles of geometry?
In geometry, angles are studied mostly in relation to each other. In Trigonometry, angles are studied in relation to side lengths and triangles.
How do you solve right triangles in Trigonometry?
you use the the 3 trigonometry functions , sin=opposite divided by hypotenuse cos=adjacent divided by hypotenuse tan=opposite divided by adjacent these are used to work out angles and side lengths in right angle triangles only!!! sine,cosine,tangent :)
How do you use trigonometry?
Various trigonometric functions, such as sine or cosine, show the relationship between the lengths of sides of a triangle and the angles between those sides. So trigonometry is used to calculate angles, lengths and distances using right triangles. Right triangles are those that have one angle of exactly 90 degrees. Example: You want to find the height of a tree. Measure off a fixed distance from the tree and measure the angle between the ground and the line-of-sight to the top of the tree. The height of the tree = the distance to the tree times the tangent of the angle between the tree and the ground, ie tan(x).
What is the pythagorean theorem and where did it come from?
The Pythagorean Theorem is used to find side lengths of right triangles. It came from the Greek philosopher and mathematician Pythagoras.
What do isosceles mean?
Isosceles with a Clasical Greek mathematician, who theorised over triangles. Today in his memory we have the Isosceles Triangle, which is a triangle of two equal lengths and two equal angles.
If two triangles have the same side lengths then the triangles are?
They are congruent.
Are Triangles equilateral triangles?
Triangles are equilateral triangles only when all of their 3 sides are equal in lengths.
Do right triangles and hexagons both have all sides of equal lengths?
Only when they are equilateral triangles and regular hexagons that both will have sides of equal lengths.
If two triangles are similar are they congruent?
no: if you have two triangles with the same angle measurements, but one has side lengths of 3in, 4in, and 5in and the other has side lengths of 6in, 8in, and 10in, then they are similar. Congruent triangles have the same angle measures AND side lengths.
What are isosceles triangels?
Isosceles triangles are triangles in which two of the three sides have different lengths.
What conditions will ensure that two isosceles triangles are congruent?
The triangles have the same side lengths.
Do all triangles with same side lengths have the same area?
Only if they are congruent triangles
What is the formula a squared plus b squared equals c squared is used to find?
It is the pythagorean theorem. Used in finding the lengths of sides of right angled triangles.
How many triangles exist with the given side lengths 3in 4in 2in?
How many triangles exist with the given side lengths 3in, 4in, 2in
You can build two triangles that have the same side lengths but are not congruent.?
No, triangles with the same side lengths are always congruent.
