The exterior of a triangle is the side that is opposite of the interior angles. What is the exterior of a triangle called? It can be measured by using a protractor or by using geometry formulas. Understanding and being able to calculate the exterior angle of a triangle will help you in your future mathematical pursuits!įAQ What is an exterior angle in a triangle?Īn exterior angle of a triangle is the angle between any side of the triangle and its extended adjacent side.Īn exterior angle in geometry is defined as the angle between any side of a geometric shape and its extended adjacent side.Īn exterior angle is an angle that is outside of a given geometric shape. There are several different ways that you can measure the exterior angle of a triangle one way is by using a protractor, and another way is by using geometry formulas. It is defined as the angle between any side of the triangle and its extended adjacent side. The exterior angle of a triangle is an important concept in geometry. So, if we know that our interior angles are 60° and 80°, our exterior angle would be calculated as follows: exterior angle = 60° 80° - 180°. The formula for finding the exterior angle of a triangle when given the other two angles is: exterior angle = sum of interior angles - 180°. This angle is your exterior angle!Īnother way to measure the exterior angle of a triangle is by using geometry formulas. Once you have drawn this line, you can then use your protractor to measure the angle created. Once you have found the midpoint, you can then draw a line from the midpoint to the vertex (the point where two sides of a triangle meet) that is opposite of the side you are extending. To do this, you will need to divide the length of that side by 2. If you don’t have a protractor, you can also use a ruler or tape measure.įirst, you need to find the midpoint of the side of the triangle that you want to extend. There are a few different ways that you can measure the exterior angle of a triangle. How to Measure the Exterior Angle of a Triangle This angle can be measured and is equal to _ degrees. If we extend the side that measures 3, we create an exterior angle. Say we have a triangle with sides that measure 3, 4, and 5. To better understand this concept, let’s look at an example. In other words, it is the angle that is formed outside of the triangle. The formula that is used in this case is:Īrea of an Isosceles Triangle = A = \(\frac\) where 'b' is the base and 'a' is the length of an equal side.The Exterior Angle of a Triangle in Geometryīlog Introduction: The exterior angle of a triangle is the angle between any side of the triangle and the extension of the adjacent side. The formula that is used in this case is:Īrea of an Equilateral Triangle = A = (√3)/4 × side 2 Area of an Isosceles TriangleĪn isosceles triangle has two of its sides equal and the angles opposite the equal sides are also equal. To calculate the area of the equilateral triangle, we need to know the measurement of its sides. The perpendicular drawn from the vertex of the triangle to the base divides the base into two equal parts. The formula that is used in this case is:Īrea of a Right Triangle = A = 1/2 × Base × Height Area of an Equilateral TriangleĪn equilateral triangle is a triangle where all the sides are equal. Therefore, the height of the triangle is the length of the perpendicular side. Area of a Right-Angled TriangleĪ right-angled triangle, also called a right triangle, has one angle equal to 90° and the other two acute angles sum up to 90°. The area of triangle formulas for all the different types of triangles like the equilateral triangle, right-angled triangle, and isosceles triangle are given below. The area of a triangle can be calculated using various formulas depending upon the type of triangle and the given dimensions. Let us learn about the other ways that are used to find the area of triangles with different scenarios and parameters. They can be scalene, isosceles, or equilateral triangles when classified based on their sides. Triangles can be classified based on their angles as acute, obtuse, or right triangles. Solution: Using the formula: Area of a Triangle, A = 1/2 × b × h = 1/2 × 4 × 2 = 4 cm 2 Let us find the area of a triangle using this formula.Įxample: What is the area of a triangle with base 'b' = 2 cm and height 'h' = 4 cm? Observe the following figure to see the base and height of a triangle. However, the basic formula that is used to find the area of a triangle is: Trigonometric functions are also used to find the area of a triangle when we know two sides and the angle formed between them. For example, Heron’s formula is used to calculate the triangle’s area, when we know the length of all three sides. The area of a triangle can be calculated using various formulas.
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