Question

For the figure at right, determine if the two triangles are congruent. If so, create a proof (flowchart or two-column) to explain why. Then, solve for x. If the triangles are not congruent, explain why not. Homework Help ✎

Answer 1

x = 32

Explanation:

(41)² - (40)² = 1681 - 1600

= 81

`√(81) = 9`

|EC| = 9

x = 41 - 9

x = 32

The 2 triangles share 2 sides of common lengths and a common angle between these sides, therefore they are congruent.