Find the length of its hypotenuse and the other side. Let us use these formulas in some examples and see how we can find the 2 missing sides when only one side is given.Įxample: The longer side of a 30° 60° 90° triangle is 4√3 units. 45° 45° 90° triangle formula: Leg : Leg: Hypotenuse = x: x: x√2.30° 60° 90° triangle formula: Short leg: Long leg : Hypotenuse = x: x√3: 2x.The special right triangle formulas in the form of ratios can be expressed as: ![]() However, in the case of special right triangles, we use the particular ratios which act as formulas and they help to calculate the missing sides of a triangle even when one side is known. ![]() The right triangle formula is the basic Pythagoras theorem formula which says that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In terms of x, it can be expressed as x: x√3: 2x, as shown in the figure given below. The ratio of its legs and hypotenuse is expressed as follows: Short leg : Long leg : Hypotenuse = 1: √3: 2. In terms of x, it can be expressed as x: x: x√2, as shown in the figure given below.Ī 30 - 60 - 90 triangle is one in which the acute angles are 30° and 60° respectively. The ratio of its legs and hypotenuse is expressed as follows: Leg : Leg : Hypotenuse = 1: 1: √2. The side opposite to the right angle is called the hypotenuse and is the longest side of the triangle.Ī 45° 45° 90° triangle is an isosceles right triangle, as we can see that 2 of its acute angles are equal to 45°.In a right triangle, one of the angles is 90°, and the sum of the other two angles adds up to 90°.Before reading about it in detail, let us recollect the few basic properties of a right triangle:. The two special right triangles are also known as the 45°- 45°- 90° triangle and the 30°- 60°- 90° triangle. In these right-angled triangles, we can find the value of 2 missing sides if one side is given. Special right triangles are the triangles in which all the 3 interior angles are defined and the sides have a fixed ratio.
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