1. What is Right Angle Triangle
A right triangle or right-angled triangle is a triangle in which one
angle is a right angle. The relation between the sides and angles of a
right triangle is the basis for trigonometry. in this case one angle
must be equal to 90 degree
All the interior Angle must be Equal to 180 degree. that is Called
Triangle.
A + B + C = 180°
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FORMULA
The Pythagorean Theorem
Pythagorean Theorem, which provides us with the relationship between the sides in a right triangle. A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle.
The
Pythagorean Theorem tells us that the relationship in every right triangle is:
a²+b²=c² a²+b²=c²
Example
C=6²+4²
C²=36+16
C²=36+16
C²=52
√C=52
C=7.2
There
are a couple of special types of right triangles, like the 45°-45° right
triangles and the 30°-60° right triangle.
Because
of their angles it is easier to find the hypotenuse or the legs in these right
triangles than in all other right triangles.
In
a 45°-45° right triangle we only need to multiply one leg by √2 to get the
length of the hypotenuse.
Example
We
multiply the length of the leg which is 7 inches by √2 to get the length of the
hypotenuse.
7⋅ √2= 9.9
In
a 30°-60° right triangle we can find the length of the leg that is opposite the
30° angle by using this formula:
a=1⟋2⋅c
Example
To
find a, we use the formula above.
a=1⟋2 ⋅14
a=7
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Video Courtesy : Dina Yagodich