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What is the different between all of the 4 triangles?
Equilateral triangles have 3 sides all of the same lengths and the three angles are equal (60°). Isoceles triangles have two sides of equal length with both of those side angles being equal while the other is different. Scalane triangles have all sides of different lengths and different angles. Right angled triangles have one angle of 90° and the other two will total 90°.
What relationship between the right triangles side?
The sum of the squares of the lengths of the two shortest sides is equal to the square of the longest side.
Theorem is this describing In a right triangle the sum of the squares of the leg lengths is equal to square of the hypotenuse length.?
It is Pythagoras' theorem that is applicable to right angle triangles.
What does the Pythagorean Theorem state for right triangles?
It states that the square of the length of the longest side is equal to the sum of the squares of the lengths of the other two sides.
Example of scalene triangle?
A triangle with side lengths 1, 2, square root(3). A scalene triangle is any triangle whose sides are all of different lengths. It may or may not have a right-angle. Compare with isosceles triangles (2 out of 3 sides are equal in length) and equilateral triangles (all 3 sides are equal in length).
Are all triangles equilateral?
No.Equilateral triangles must have equal angles (all 60 degrees) and equal length sides; there are also:Isosceles triangles which have two equal angles and two equal sides;Scalene triangles which have all three sides, and hence all three angles, of different lengths;Right angled triangles (which can have all sides of different lengths, or two sides of equal length) have (as the name suggests) one right angle. This means Pythagoras and the trigonometric ratios can be used on its side lengths.
What is the different between all of the 4 triangles?
Equilateral triangles have 3 sides all of the same lengths and the three angles are equal (60°). Isoceles triangles have two sides of equal length with both of those side angles being equal while the other is different. Scalane triangles have all sides of different lengths and different angles. Right angled triangles have one angle of 90° and the other two will total 90°.
Are scalene triangles all obtuse?
No, a scalene triangle is simply a triangle where all angles are not equal and all side lengths are not equal, therefore they can or cannot be obtuse.
What relationship between the right triangles side?
The sum of the squares of the lengths of the two shortest sides is equal to the square of the longest side.
Theorem is this describing In a right triangle the sum of the squares of the leg lengths is equal to square of the hypotenuse length.?
It is Pythagoras' theorem that is applicable to right angle triangles.
What does the Pythagorean Theorem state for right triangles?
It states that the square of the length of the longest side is equal to the sum of the squares of the lengths of the other two sides.
Example of scalene triangle?
A triangle with side lengths 1, 2, square root(3). A scalene triangle is any triangle whose sides are all of different lengths. It may or may not have a right-angle. Compare with isosceles triangles (2 out of 3 sides are equal in length) and equilateral triangles (all 3 sides are equal in length).
In a right triangle the square of the length of the hypotenuse is equal to the?
pythagorean theorem is a2 + b2 = c2 (only in right triangles) c is the length of the hypotenuse, and a and b are the lengths of the other two legs.
What are triangles that have equal corresponding angles?
Isoceles triangles and right triangles have 2 corresponding equal angles three equal corresponding angles are equilateral triangle
Are all scalene triangles acute triangles?
No, scalene triangles can be obtuse, right or acute triangles. A 3 - 4 -5 right triangle (lengths of the sides) is one example of a right-scalene triangle. In fact, with the exception of the [45°, 45°, 90°] right triangle (which is isosceles) all other right triangles are scalene.
In a right triangle the sum of the squares of the leg lengths is equal of the lengths is equal to the square of the hypotenuse?
Yes
What is the main purpose of Pythagorean's theroem?
It is for working out the side lengths of right angle triangles in which Pythagoras' theorem states that for any right angle triangle its hypotenuse when squared is equal to the sum of its two squared sides.
