ABCD is an isosceles trapezoid with legs AB and CD. And with Base BC. If AB = 6z - 5 and BC = 7z + 4 and. CD = 4z + 3.
A.
Sketch:
B.
Find z.
work:
C.
Find BC.
work:
A. Sketch of isosceles trapezoid ABCD:
A -------B
| |
| |
| |
D------- C
B. If AB = CD (isosceles trapezoid), then:
6z - 5 = 4z + 3
2z = 4
z = 2
C. To find BC:
BC = 7z + 4
= 7(2) + 4
= 18
Therefore, BC = 18.