How To Find The Area Of A Triangle How To Find The Area Of A Triangle To find the area of triangle, there are various ways. The area of triangle is the measure of the plane that is covered by the sides. Now the problem is How to Find the Area of a Triangle, as we discussed above there are five to six ways to find the area of triangle. Let’s discuss some ways one by one Method 1: - Formula is area = ½ * bas * height Where b is base h is height b and h is always perpendicular to each other. If we have b' s and h's value then we will put the value into the formula Then multiply the base by the height, and then divide by it by two.
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Method 2 : - This is the hero's formula ?ABC = √(s (s – a) (s – b) (s - c)) sq units Find the perimeter, means add three sides, then divide the total sum by two that is s. Subtract the side A Subtract the side B Subtract the side C Then we will multiply the step 2 with the step 4. Then we will multiply the step 5 with the semi perim. At last take the square root of that result. Method 3 : - equilateral formula is Area = (√3 / 4 a2) First we will identify the one side length. Second square that length Third set up a fraction with the value that we have found in the numerator. Then we will put the denominator 4. At last we will take the lowest term. Method 3 : - Area = a * b * sin (c) / 2 Method 4 : - Area = a 2 * sin (B) * sin (c) / (2 * sin (B + C ))
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Method 5 : -Area = f * g / 2 - v * w / 2 Method 6 : -abs (( x B * y A – x A * y B) + (x C * y B – x B * y C) + (x A * y C – x C * y A)) / 2 Method 7 : - We use this method when vertices's are at integer point Area = number of points inside triangle + half number of points on edge of triangle - 1 Let’s take some examples of some formulas Example 1 : - Determine the area of triangle when you have to given a base of 13 cm and a height of 12 cm Solution : - Area = 1 / 2 (b * h) After putting the values of base and height. Then we get, Area = 1 / 2 (13 * 12) =1 / 2 (156) = 78 cm 2 Example 2 : - Determine the area of a triangle when we have two sides 2 cm, 8 cm and in the between angle is 60 degree. Solution : - Area = (ab sin C)/2 = (2 * 8 sin 60) / 2
= (16 * 0.8660) / 2
= (13.856) / 2
= 6.928 cm 2
like this we can solve any problem of area of rectangle by applying their corresponding formulas.
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