With an extended ratio you can express the measures of the angles with respect to the factor x.
43.2, 64.8, and 72
Practice makes perfect
An extended ratio compares three or more numbers. In an extended ratio a : b : c, the ratio of the first two numbers is a : b, the ratio of the last two numbers is b : c, and the ratio of the first and last numbers is a : c. We want to find the measures of the angles in a triangle with angles that fit the given extended ratio.
6 : 9 : 10
This means that we can express the measures of the angles of the triangle as 6x, 9x, and 10x.
By the Triangle Angle Sum Theorem we know that the sum of the measures of the angles of a triangle is 180.
6x + 9x + 10x=180
Let's solve this equation and find x.
