Answer:
BC = 8 and EF = 8
Step-by-step explanation:
Congruent triangles have equal angles, equal sides, equal perimeters, and equal areas.
Let us solve the question
∵ The two triangles ABC and DEF are congruent
∴ BC = EF
∵ BC = 3z + 2
∵ EF = z + 6
→ Equate their length
∴ 3z + 2 = z + 6
→ Subtract z from both sides
∵ 3z - z + 2 = z - z + 6
∴ 2z + 2 = 6
→ Subtract 2 from both sides
∵ 2z + 2 - 2 = 6 - 2
∴ 2z = 4
→ Divide both sides by 2
∴ z = 2
→ Substitute z by 2 in the length of sides BC and EF to find them
∵ BC = 3(2) + 2 = 6 + 2
∴ BC = 8
∵ EF = 2 + 6
∴ EF = 8
