area= $$\sqrt{s(s-a)(s-b)(s-c)}$$, Where, s is the semi perimeter and is calculated as s $$=\frac{a+b+c}{2}$$ and a, b, c are the sides of a triangle. As we remember from basic triangle area formula, we can calculate the area by multiplying triangle height and base and dividing the result by two. Pythagoras Theorem defines the relationship between the three sides of a right angled triangle. As we discussed earlier, the sim of all three interior angles would be 180-degrees then the sum of the rest two angles should be 90-degree but it cannot be equal to 90-degree. Strategy. The algorithm of this right triangle calculator uses the Pythagorean theorem to calculate the hypotenuse or one of the other two sides, as well as the Heron formula to find the area, and the standard triangle perimeter formula as described below. How to work out the area of triangles using the formula of 1/2 x base x height. Right Triangle Formula In the case of the right triangle, one angle must be of 90 – degrees. Example 1: A right triangle has a base of 6 feet and a height of 5 feet. This usually requires us to draw a line, called height or altitude, from one vertex of the triangle to the side opposite it, which is perpendicular to that side.. Relates to Hegarty clip 557 and 558. A = (b • h) / 2 A = (6 • 5) / 2 A= 15 feet^2 The area is 15 feet^2 Example 2: A right triangle has a surface area of 21 inches^2 and a base that measures 6 inches. The formula for surface area of a right triangle is A = (b • h)/2 where b is base and h is height. Let us calculate the area of a triangle using the figure given below. Includes a problem solving element. Moreover it allows specifying angles either in grades or radians for a more flexibility. A right triangle is a special case of a scalene triangle, in which one leg is the height when the second leg is the base, so the equation gets simplified to: area = a * b / 2. Find its surface area. 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