Question

In the figure, ΔABC ~ ΔDEF. Solve for x.

Triangles ABC and DEF. Angles B and E are right angles. AB measures 30. AC measures x. DE measures 6. DF measures 11.

x = 16.36

x = 55

x = 2.2

x = 66

Answer 1

use the linear scale factor by dividing the two sides that have the same angle in this case 90'. that is\[ab \div de\] by that i mean \[30\div 6\] this gives you 5. that means x is 5 times bigger than df. i.e \[x =5df\]when you multiply you get 55 therefore making the second one the answer.

Answer 2

Thank you! :)

Answer 3

welcome