method of pythagorean triplet
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let 2m be the number .
.find the value of m
the 1 St = m^2 +1
2nd = m^2 -1
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.find the value of m
the 1 St = m^2 +1
2nd = m^2 -1
suscribe my channel toppers academy
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1 Right-angled Triangles and Pythagoras' Theorem
1.1 Pythagoras and Pythagoras' Theorem
Pythagoras was a mathematician born in Greece in about 570 BC. He was interested in mathematics, science and philosophy. He is known to most people because of the Pythagoras Theorem that is about a property of all triangles with a right-angle (an angle of 90°): If a triangle has one angle which is a right-angle (i.e. 90°) then there is a special relationship between the lengths of its three sides:
If the longest side (called the hypotenuse) is hand the other two sides (next to the right angle) are called a and b, then:
a2 + b2 = h2 Pythagoras' Theorem
or,
the square of the longest side is the same as the sum of the squares of the other two sides.
h2 = a2 + b2 is only true for right-angled triangles.
If all the angles of a triangle are less than 90°then h2 < a2 + b2
For example, in an equilateral triangle with sides 1 1 1 and all angles 60° 12 = 1 < 12 + 12 = 2If one the angles of a triangle is greater than 90° then h2 > a2 + b2Note that in any triangle, the longest side hcannot be longer than the sum of the other two sides. so h < a + b.
If it equalled the sum of the other two then the triangle is just a line of length a + b = h!
For example, if the two shorter sides of a right-angled triangle are 2 cm and 3 cm, what is the length of the longest side?
If the longest side is h, then, by Pythagoras' Theorem, we have:
h2=22 + 32 = 13h=√13 = 3·60555
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1.1 Pythagoras and Pythagoras' Theorem
Pythagoras was a mathematician born in Greece in about 570 BC. He was interested in mathematics, science and philosophy. He is known to most people because of the Pythagoras Theorem that is about a property of all triangles with a right-angle (an angle of 90°): If a triangle has one angle which is a right-angle (i.e. 90°) then there is a special relationship between the lengths of its three sides:
If the longest side (called the hypotenuse) is hand the other two sides (next to the right angle) are called a and b, then:
a2 + b2 = h2 Pythagoras' Theorem
or,
the square of the longest side is the same as the sum of the squares of the other two sides.
h2 = a2 + b2 is only true for right-angled triangles.
If all the angles of a triangle are less than 90°then h2 < a2 + b2
For example, in an equilateral triangle with sides 1 1 1 and all angles 60° 12 = 1 < 12 + 12 = 2If one the angles of a triangle is greater than 90° then h2 > a2 + b2Note that in any triangle, the longest side hcannot be longer than the sum of the other two sides. so h < a + b.
If it equalled the sum of the other two then the triangle is just a line of length a + b = h!
For example, if the two shorter sides of a right-angled triangle are 2 cm and 3 cm, what is the length of the longest side?
If the longest side is h, then, by Pythagoras' Theorem, we have:
h2=22 + 32 = 13h=√13 = 3·60555
please mark me as brain list
hope it helps u
please mark me as brain list
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