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Similar Triangles Exercises

Example 1

Given: AB || CF || GI, AC = 6, CG = 8, and AD = 9. What is the length of DH?

Example 2

Given: AB || CF || GI, AD = 4, DH = 7, and EH = 14. What is the length of BE?

Example 3

Say BF = 3.75, BE = 5, EH = 8, and FI = 6. Determine whether EF || HI.

Example 4

Say AD = 6, AH = 9, EH = 4, and BH = 11. Determine whether AB || DE.

Example 5

Given: AB || CF || GI, AC = 2, AD = 3.5, and CG = 4. What is the length of AH?

Example 6

Given: AB || CF || GI. If AC = 3x + 1, CG = 4, AD = 5x – 2, and DH = 6, what is the value of x?