To find the missing length of a triangle, you’ll need to make use of the Pythagorean theorem. This states that for a triangle with side lengths a, b and c, a^2 + b^2 = c^2. When you know two side lengths of a triangle (let’s call them sides a and b), you can use the following equation to calculate the third side (c): c = √(a^2 + b^2).
For example, if you have a right triangle with side lengths of 9 and 12, then the missing length of the hypotenuse is c = √(9^2 + 12^2) = 15. This means that the missing length of the triangle is 15.
To apply this equation to finding the missing length of a non-right triangle, you need to know the lengths of two sides and the measure of one of the angles (other than the right angle). Knowing two sides of a triangle with the measure of one of the angles allows you to use the Law of Cosines, which states that:
c^2 = a^2 + b^2 – 2abcos(C).
The angle C in this equation is the angle whose measure you know, and the sides a and b are the lengths of the two sides you know. Once you have this equation, you can rearrange it to calculate the missing side, which is equal to c:
c = √(a^2 + b^2 – 2abcos(C)).
For example, let’s say you have a triangle with side lengths of 5 and 6 and an angle ∠C, whose measure is 30°. You can calculate the missing side length (side c), using c = √(5^2 + 6^2 – 2*5*6cos(30°)) = 7.
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So, in summary, the way to find the missing length of a triangle is to use either the Pythagorean theorem (if you have a right triangle) or the Law of Cosines (if you have a non-right triangle).
What are the 3 formulas for the area of a triangle?
The three formulas for the area of a triangle are as follows:
1. The base and the height formula: A = (bh)/2
This formula requires you to measure the length of the base and the height of the triangle. Multiply these two values and then divide the result by two to calculate the area of the triangle.
2. The side-angle-side (SAS) formula: A = (1/2)ab sin C
In this formula, a and b are the lengths of two sides of the triangle and C is the angle located between them. Multiply the lengths of two sides and then multiply the result by the sine of the angle between the two sides.
Divide the overall result by two to calculate the area of the triangle.
3. The Heron’s formula: A = √s(s-a)(s-b)(s-c)
In this formula, a, b and c are the lengths of three sides of the triangle, while s is the semi-perimeter of the triangle, which is equal to (a+b+c)/2. Multiply these four values, take the square root of the result and you will get the area of the triangle.
What is the length of third side of each triangle?
The length of the third side of each triangle depends on the two other known sides and angles. For example, if the two sides have lengths of 7 cm and 5 cm and the angle between them is 120°, then the third side must be 8 cm long as it completes the triangle.
Likewise, if the two sides have lengths of 4 cm and 3 cm and the angle between them is 90°, then the third side must be 5 cm long. Therefore, the length of the third side can only be calculated when all three sides and all three angles of the triangle are known.
What are the 3 triangles called?
The three common types of triangles are right triangles, acute triangles, and obtuse triangles. A right triangle has one interior angle measuring 90 degrees, while acute triangles have three interior angles measuring less than 90 degrees.
Obtuse triangles have one interior angle measuring more than 90 degrees. Right triangles are sometimes also referred to as a 90-degree triangle, an acute triangle is sometimes referred to as a sharp triangle, and an obtuse triangle is sometimes referred to as a blunt triangle.
Right triangles are typically used in engineering applications such as the Pythagorean theorem, and acute and obtuse triangles are typically used in architectural applications.
What is a triangle answer?
A triangle answer is the answer to the problem or question posed by the triangle shape. Triangles are used in many forms of problem-solving, such as math, engineering, philosophy, and other forms of logical reasoning.
They can provide an interesting way to work through a logical solution in a more visual format. In math, a triangle can be used to identify and answer many types of equations. For example, in a right triangle, the lengths of the two sides and the length of the hypotenuse can be used to find the measure of an unknown angle or length of a side.
In engineering, triangles can be used to represent forces, to balance a structure, or to estimate the strength of materials. In philosophy, the triangle is often used to study the concept of truth and how one truth leads to another.
Ultimately, the aim of using a triangle answer is to help someone to better understand the question or problem being asked and provide an effective solution.
How many triangles are there name?
There are an infinite number of different triangles that can be named, depending on the type of triangle and its characteristics. Common types of triangles include scalene, isosceles, right-angled (or right), obtuse-angled, and equilateral.
Scalene triangles have all three sides of different lengths, while isosceles triangles have two sides that are of equal length and a third side of different length. Right triangles have two sides that are of equal length, and an adjacent angle that measures 90 degrees.
An obtuse-angled triangle has an adjacent angle that measures greater than 90 degrees. Lastly, equilateral triangles have all three sides of equal length.
Additionally, triangles can be further named depending on their internal angles or base. Examples of such triangles include acute-angled, right isosceles, right scalene, right obtuse and equiangular.
Acute-angled triangles have all three angles smaller than 90 degrees, right isosceles have two right angles of equal measure and a third angle of different measure, right scalene have one right angle and two acute angles of different measure, right obtuse have one right angle and two obtuse angles of different measure, and equiangular have all three angles of equal measure.
In conclusion, there are an infinite number of different triangles that can be named depending on their type and characteristics.
What kind of triangle is never wrong?
The kind of triangle that is never “wrong” is one that is purely theoretical—that is, one that has all three sides and angles of equal measure. This type of triangle is called an equilateral triangle, and its angles are always 60°.
It is the only type of triangle that has all three angles equal and its sides equal in length, meaning it is always “right. “.
Is any 3 sided polygon a triangle?
No, any 3 sided polygon is not necessarily a triangle. A triangle is a three-sided polygon that has three angles, all of whose measures are less than 180°. A three-sided polygon with three angles that measure more than 180° is known as a “reflex” triangle and these do exist.
More generally, any polygon with three sides can be referred to as a triagon, but this term more often applies to non-reflex, equilateral triangles and non-reflex, isosceles triangles since these three-sided shapes have a few unique properties that other three-sided polygons do not possess.
Which triangle has no equal side?
A triangle that has no equal sides is known as a scalene triangle. This type of triangle has all three sides with different lengths and no two angles being the same. The sum of the angles in a scalene triangle is always equal to 180°.
It is important to note that although all sides are different, they are still connected to one another in some way, creating a valid triangle. Examples of scalene triangles include a 3-4-5 triangle, a 5-12-13 triangle, or any other triangle with three different side lengths.
