For the rhombus ABCD ,the side AB =√29 units .B is at (-1,-2) and C is at (x,7) .Also x>0 then find x
Answers
Answer:
I don't know the answer sorry
Answer:
x=1
Step-by-step explanation:
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Problem
For a rhombus ABCDABCDA, B, C, D, the side AB = \sqrt{29}AB=
29
A, B, equals, square root of, 29, end square root units.
BBB is at (-1,-2)(−1,−2)left parenthesis, minus, 1, comma, minus, 2, right parenthesis and CCC is at (x,-7)(x,−7)left parenthesis, x, comma, minus, 7, right parenthesis.
Also, x > 0x>0x, is greater than, 0.
Find xxx.
Hints
Strategy
All sides of a rhombus are equal.
So, BC = AB = \sqrt{29}BC=AB=
29
B, C, equals, A, B, equals, square root of, 29, end square root
We can write BCBCB, C in terms of xxx and solve the equation.
To find the length of sides using the vertices, we can use the distance formula.
What is the distance formula?
Finding BCBCB, C
Using distance formula, we get BC = \sqrt{(x + 1)^2 + 25}BC=
(x+1)
2
+25
B, C, equals, square root of, left parenthesis, x, plus, 1, right parenthesis, squared, plus, 25, end square root
Show me the steps.
We can equate this to \sqrt{29}
29
square root of, 29, end square root to find xxx.
Finding xxx
Equating BCBCB, C to \sqrt{29}
29
square root of, 29, end square root, we get x = 1x=1x, equals, 1 or x = -3x=−3x, equals, minus, 3.
Show me the steps.
As x > 0x>0x, is greater than, 0, we'll pick 111.
In conclusion,
x = 1x=1x, equals, 1.