That's an unusual scale. The length of B C is labeled 3. These problems involve multiplication or require you to simplify fractions. To find the scale factor of two triangles, look first for one pair of corresponding sides--one side from the smaller triangle and the corresponding side from the larger triangle. We know ads can be annoying, but they’re what allow us to make all of wikiHow available for free. A scale factor of \(3\) means that the new shape is three times the size of the original. % of people told us that this article helped them. The scale factor describes, how much the figure is enlarged or reduced. Then, multiply the length and width to find the area: 1,000 x 650 = 650,000 square cm. The scale factor describes how much the figure is enlarged or reduced. Enlarging with a Scale Factor of 5 In the diagram above, the left-hand triangle has been enlarged by a scale factor of 5 to produce the triangle on the right. Favorite Answer. However, the ratio of the sides of one triangle is equivalent to the ratio of sides of another triangle, which is called here the scale factor. wikiHow's. By using our site, you agree to our. You can also get 2 as the scale factor by finding the ratios: 12/6 = 2, 16/8 = 2, and 18/9 = 2. Since the scale factor is the same for all corresponding sides, we can record just a pair of side lengths. The scale factor, or linear scale factor, is the ratio of two corresponding side lengths of similar figures. For example, you might have a right triangle with sides measuring 4 cm and 3 cm, and a hypotenuse 5 cm long. This article was co-authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness. The scale factor is the ratio of a length of the image to the corresponding length on the original figure. Since the sides of the triangle and its image after dilation are not parallel to x and y axes, we can use the distance between two points formula to find the lengths of the sides. Once I have found the scale factor how do I enlarge by the scale factor? The scale factor is used to solve geometric problems. Find the scale factor of the dilation. For example, if the hypotenuse of a right triangle is 5 cm long, and the scale factor is 2, to find the hypotenuse of the similar triangle, you would calculate, For example, if the base of a right triangle is 3 cm long, with a scale factor of 2, you would calculate, Create a ratio comparing the two heights. Find two consecutive whole numbers that 20 lies between. Mathematics. This will give you the height of Rectangle EFGH: Multiply the width of Rectangle ABCD by the scale factor. Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here. On triangle XYZ: X= (-4.00,3.00) Y= (3.00,2.00) and Z= (2.00,-1.00) I need to find the point for C. Update: ABC and XYZ are points not sides. How do you find the scale factor of a triangle ? Before you begin this lesson, you will want to recall two math terms: similar figures and ratio. FINDING A SCALE FACTOR. http://www.mathsisfun.com/geometry/similar.html, http://www.virtualnerd.com/pre-algebra/ratios-proportions/similar-figures-indirect-measurement/similar-figures/find-scale-factor-similar-figures, http://www.bbc.co.uk/education/guides/zpwycdm/revision/2, http://www.virtualnerd.com/pre-algebra/ratios-proportions/missing-measurements-similar-figures-scale-factor.php, http://www.vias.org/physics/bk1_03_02b.html, trouver un coefficient de proportionnalité, consider supporting our work with a contribution to wikiHow. Irregular figures can be similar if all of their sides are in proportion.