Hello friends, today I am going to discuss the topic which is the most important topic for algebra 2 mathematic students of grade XI of maharashtra board. And that topic is “Special Right Triangles, Right Angles”. And this article is from one of the easiest in analytic geometry problems and trigonometric mathematics.
First we discuss about Special Right Triangle:- A special triangle is a sight angle triangle which makes the calculation on triangle easier .Right angle Triangle are those whose one angle is 90รข—¦ and the sum of other two triangle is 180°-90°=90°. side base right angle triangle are having length in the ratio of two whole number such as 1:2:3 , 37°-53°-90°.
Angle Base triangle is composed by the relationship of the angles. Angles in right angles are such that larger angle. Is equal to the sum of two other angle examples: - 30°-60°-90°, 45°-45°-90°.Trignometive functions are calculated by the special triangle.(want to Learn more about triangles ,click here),
Right Triangle whose sides are in geometric progression- A kepler triangle is triangle in geometric progression. as this sides are in the ration of
a, ar, ar2
Common ratio r =q where q is golden ratio
Ratio = 1:√L: L
Now friends we discuss on Isosceles Right Triangle: - isosceles right triangles are those in which two angles and two sides are equal. In isosceles right triangle Ratio of their sides is always 1:1:√2 or x x:x√2.
Consider an example: - is one of the equal sides of isosceles triangle is -2 other side are
As we know that ratio of side are x x:x√2
x=2
2:2:2√2
It can also be solved by Pythagoras Thermos. in Pythagoras thermos an angle are such sum of the square of two side are equal to the square of larger side.
x2+y2=z2
In isosceles triangle two side are equal
22+22= z2
4+4= z2
8= z2
z= √8
Z= √4*2= 2√2
Then discuss on Different type of triangle is Fibonacci triangle: - Fibonacci series is basically found in Pascal’s triangle. Normally Fibonacci series is the length of hypotenuse of a right triangle with integral side. We can say that IN Pythagoras triple Fibonacci series is the large number of quantity.
IN Fibonacci series every number below in the triangle is the sum of the two numbers dynamically above it to the left and the right with position outside the triangle counting as zero. Fibonacci triangle length of the longer leg is equal to the sum of three side of the preceding triangle in Fibonacci series of triangle.
Four most important numbers in the Fibonacci series is used to create a right triangle. With the base hypotenuse being determined by the second and third number and the other side being the square root of the product of the first and fourth number. Fibonacci number are (0, 1, 1, 2, 3, 8, 13) etc.
We discuss on properties and Attribute of right Triangle: -
Opposite side of the right angle this will always be the longest side of the right triangle.
When tow side of right triangle are not the hypotenuse. Then they are making up the two side right angle itself.
If the two sides include the right angle in equal length then right triangle can also be isosceles.
In above articles we discuss about the special right triangle and right angle and if anyone want to know about Special right triangles then they can refer to internet and text books for understanding it more precisely. You can also refer Grade XI blog for further reading on Conditional Statements.
First we discuss about Special Right Triangle:- A special triangle is a sight angle triangle which makes the calculation on triangle easier .Right angle Triangle are those whose one angle is 90รข—¦ and the sum of other two triangle is 180°-90°=90°. side base right angle triangle are having length in the ratio of two whole number such as 1:2:3 , 37°-53°-90°.
Angle Base triangle is composed by the relationship of the angles. Angles in right angles are such that larger angle. Is equal to the sum of two other angle examples: - 30°-60°-90°, 45°-45°-90°.Trignometive functions are calculated by the special triangle.(want to Learn more about triangles ,click here),
Right Triangle whose sides are in geometric progression- A kepler triangle is triangle in geometric progression. as this sides are in the ration of
a, ar, ar2
Common ratio r =q where q is golden ratio
Ratio = 1:√L: L
Now friends we discuss on Isosceles Right Triangle: - isosceles right triangles are those in which two angles and two sides are equal. In isosceles right triangle Ratio of their sides is always 1:1:√2 or x x:x√2.
Consider an example: - is one of the equal sides of isosceles triangle is -2 other side are
As we know that ratio of side are x x:x√2
x=2
2:2:2√2
It can also be solved by Pythagoras Thermos. in Pythagoras thermos an angle are such sum of the square of two side are equal to the square of larger side.
x2+y2=z2
In isosceles triangle two side are equal
22+22= z2
4+4= z2
8= z2
z= √8
Z= √4*2= 2√2
Then discuss on Different type of triangle is Fibonacci triangle: - Fibonacci series is basically found in Pascal’s triangle. Normally Fibonacci series is the length of hypotenuse of a right triangle with integral side. We can say that IN Pythagoras triple Fibonacci series is the large number of quantity.
IN Fibonacci series every number below in the triangle is the sum of the two numbers dynamically above it to the left and the right with position outside the triangle counting as zero. Fibonacci triangle length of the longer leg is equal to the sum of three side of the preceding triangle in Fibonacci series of triangle.
Four most important numbers in the Fibonacci series is used to create a right triangle. With the base hypotenuse being determined by the second and third number and the other side being the square root of the product of the first and fourth number. Fibonacci number are (0, 1, 1, 2, 3, 8, 13) etc.
We discuss on properties and Attribute of right Triangle: -
Opposite side of the right angle this will always be the longest side of the right triangle.
When tow side of right triangle are not the hypotenuse. Then they are making up the two side right angle itself.
If the two sides include the right angle in equal length then right triangle can also be isosceles.
In above articles we discuss about the special right triangle and right angle and if anyone want to know about Special right triangles then they can refer to internet and text books for understanding it more precisely. You can also refer Grade XI blog for further reading on Conditional Statements.
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