Right Angle Triangle
A right-angle triangle is a triangle in which the measure of one angle in a triangle is 90 degrees. The relation between the sides and angle of a right angle triangle is the basis of trigonometry.
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The figure represented above describes the right angle triangle. The little square in the corner represents the right angle triangle. One can also write 90 degrees to represent the right angle triangle. The side opposite to the right angle triangle is known as hypotenuse which is represented as “c” and it is the longest side of a triangle.
If the dimensions of all the sides of a triangle are integers then the triangle is referred to as “Pythagorean triangle” and the side lengths are collectively referred to as a Pythagorean triple.
The sum of all angles of a triangle is equal to 180 degrees.
Pythagorean Theorem and Right Angle
In Euclidean geometry, the Pythagorean Theorem, also known as Pythagoras' Theorem. This describes the relationship between the three sides of the right triangle. It states that the square (the side opposite the right angle) of the hypotenuse is equal to the sum of the squares of the two other sides. It is necessary to write the theorem as an equation concerning the lengths of the sides a, b, and c often referred to as the "Pythagorean equation".
a2 + b2 = c2
In the above equation, C is referred to as the hypotenuse which is the longest side of a triangle.
Area of a Right-Angle Triangle Formula
The area is equal to one-half of the base multiplied by the corresponding height. In a right angle triangle, if one arm is taken as the base then the other is height, so the area of a right triangle is one-half the product of the two arms. Therefore, the formula of the right-angle triangle is mentioned below:
A =1/2 ab
Where a and b are the sides of a triangle which is a base and the height of a triangle.
Special Right Angle Triangle :
The most special is probably the so-called "45 45 90" triangle of all the special right triangles. This is a right-angled triangle, which is a triangle with isosceles as well. Its arms are both of the same length (isosceles) and it is also odd that the non-right angles are exactly half the size of the right angle that gives the right triangle its name.
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When you divide a square by its diagonal, this right triangle is the kind of triangle that you will get. That is why they are of equal length on both sides of the square.
FAQs on Right Angle Formula
1. What Forms a Right Angle Triangle?
Ans: Two arms and a hypotenuse comprise a right triangle. The two legs intersect at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle. There are a few special types of right triangles, such as the right triangles of 45 °-45 ° and the right triangle of 30 °-60 °.
2. What is the Meaning of the Right Angle Triangle?
Ans: A right triangle is considered a triangle in which one of the inner angles is 90 °. The longest hand of the right triangle is the hypotenuse, which is also the side opposite the right angle, and the height and the base are the two sides of the right angle.
3. How Many Sides are Equal in the Right Angle Triangle?
Ans: One angle equal to 90 degrees is a right triangle. Often, an isosceles triangle may be a right triangle—which means it has two equal sides. A 90-degree angle and two 45-degree angles are available for a right isosceles triangle.
