Question

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:
Identify the shorter side and longer side.

B.
Find z.
work:

C.
Find BC.
work:

Answer 1

A. Sketch:
```
A ------------- B
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D ------------- C
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In the isosceles trapezoid ABCD, legs AB and CD are equal in length, and base BC is longer than AB and CD.

The shorter side is AB, while the longer side is BC.

B. Find z.
In an isosceles trapezoid, the diagonals are equal in length. So, we have:

AB + CD = BC

Substituting the given values, we get:

6z - 5 + 4z + 3 = 7z + 4

Solving for z, we get:

z = 6

C. Find BC.
Using the given value of z, we have:

BC = 7z + 4 = 7(6) + 4 = 46

Therefore, BC = 46.