Rhombus A B C D is shown. The length of A B is 9 s + 29 and the length of opposite side D C is 10 s minus 16. What is the value
of s and the length of side BC if ABCD is a rhombus? S = AB = units
2 answers:
Answer:
- Length of side BC=434 Units
Step-by-step explanation:
Given a rhombus ABCD
|AB|=|DC| (Opposite sides of a rhombus are equal)
|AB|=9s+29
|DC|=10s-16
Therefore:
9s+29=10s-16
Collect like terms
10s-9s=29+16
Recall: |AB|=9s+29
|AB|=9(45)+29=405+29=434 Units
Since all the sides of a rhombus are congruent
AB=AC=BD=CD
Therefore:
|BC|=434 Units
- Therefore, the length of side BC=434 Units
Answer:
s=45
ab=434
Step-by-step explanation:
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