About Right Angled Triangle
A right-angled triangle is a triangle having one of the angles 90 degrees. A 90-degree angle is called a right angle and hence triangle with a right angle is called a right triangle. In this triangle, the relationship between various sides can be easily understood with the help of Pythagoras's rule. The side opposite the right angle is the largest and is called the hypotenuse. Based on other angle values, right triangles are classified as isosceles right triangle and scalene right triangle. Also, lengths of sides of the right triangle, such as 3, 4, and 5 are referred to as Pythagorean triples. Check out the list of Maths formulas prepared by the experts of Home tution.com
What is a Right Triangle?
The definition for a right triangle tells that if one of the angles of a triangle is 90º, the triangle is called a right-angled triangle. In the provided image, triangle ABC is a right triangle, where we have base, altitude, and hypotenuse Here AB is the base, AC is altitude and BC is the hypotenuse. The hypotenuse is an important side of a right triangle which is the largest side, which is opposite the right angle within the triangle.
- Here, we can have understood the different features of a right triangle. Features of triangle ABC are as follows:
- AC is height, altitude, or perpendicular
- AB is base
- AC perpendicular AB
- Angle A is equal to 90º
- Side BC opposite to right angle is called hypotenuse and it is the longest side of the right triangle.
- There are a few examples of right triangles: a triangular slice of bread, and a square piece of paper folder across a diagonal.
- Right Triangle Formula
- Formula states that in a right triangle, the square of the hypotenuse is equal to the sum of squares of the other two legs. It was named after the Pythagoras theorem.
- Right triangle formula can be represented in the following way: the square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude.
- In a right triangle we can write: :(Hypotenuse)2 = (base)2 + (altitude)2
Pythagorean Triplet: Three numbers which satisfy the given formula are Pythagorean triplets. Example, (3, 4, 5) is a Pythagorean triplet because we know 32= 9, 42 = 16, and 52 = 25 and, 9 +16 = 25. Hence, 32 + 42 = 52 given three numbers satisfying this condition are called a Pythagorean triplet. Some of the other examples of Pythagorean triplets are (6, 8, 10), and (12, 5, 13).
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