Question

Rectangle ADEF and isosceles trapezoid FBCE both have a base of 15. The lower base angles of the trapezoid are 45° and the legs of the trapezoid are 8. How long is BC? Round your answer to the nearest tenth.

Answer 1

@jim_thompson5910

Answer 2

Do you know how to find AF

Answer 3

oh no:(

Answer 4

well you have a 45-45-90 triangle, so use this template

Answer 5

so this means

8 = x*sqrt(2)

solve for x

Answer 6

ok

Answer 7

tell me what you get

Answer 8

4

Answer 9

close

Answer 10

try it again

Answer 11

6

Answer 12

8 = x*sqrt(2)

8/sqrt(2) = x

8*sqrt(2)/2 = x

4*sqrt(2) = x

x = 4*sqrt(2)