ABC congruent DEF find the measure of the given angles or the lengths of the given sides

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

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

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can you add an image ?

step-by-step explanation: