A few questions about the CENTER similar triangles. Using the information, MNO is similar to XNY
- What is the length of side a? ANSWER: Using sides MX (5) and XN (8), side MN is 13. Now you can set up a proportion. 13/12 = 8/a. To solve, multiply 8 and 12 to get 96 and divide by 13. Rounding to the nearest tenth, the answer is 7.4. So a = 7.4
- What is the length of side b? Similarly, you can set up the proportion b/8 = 7.4/12. Solving this proportion gives b=4.9.
- If angle M is 80 degrees, what is the measure of angle NXY? Angle M and angle NXY are corresponding angles, therefore, they will be congruent. So, angle NXY will equal 80 degrees.