How To Calculate the Area of A Right triangle The Tech Edvocate
How To Calculate The Area Of A Right Triangle The Tech Edvocate What is the area of a right triangle with hypotenuse 5 cm and angle 45°? the area is 6.25. we get this answer by applying the formula area = c² × sin (α) × cos (α) 2 with c = 5 and α = 45°. the math theorem used to derive this formula is called the law of sines. Summary of finding the area of a right triangle. after this lesson you will be able to justify the area formula for a right triangle. the lesson begins with defining the area of a rectangle and drawing a diagonal to create two identical right triangles. it leads to discovering that every right triangle is one half the area of a rectangle.
area of A Right Traingle
Area Of A Right Traingle If you know the lengths of all sides ( a, b, and c) of a triangle, you can compute its area: calculate half of the perimeter ½(a b c). denote this value by s. compute s a, s b, and s c. multiply the three numbers from step 2. multiply the result by s. take the square root of the result. Square centimeters. correct answer: square centimeters. explanation: the formula for the area of a triangle is. where is the base of the triangle and is the height. for the triangle shown, side is the base and side is the height. therefore, the area is equal to. or, based on the units given, 42 square centimeters. This means the area of each right triangle is exactly half the area of the rectangle. the general formula to find the area of any triangle is: area of a triangle = base × height 2 area of a triangle = 2 base × height. this can also be written as the following formula: a = 1 2bha = 21 bh. where bb is the base length and hh is the height of the. All that you need are the lengths of the base and the height. in a right triangle, the base and the height are the two sides that form the right angle. since multiplying these two values together would give the area of the corresponding rectangle, and the triangle is half of that, the formula is: area = ½ × base × height.