Rhombus LMNO is shown with its diagonals. The length of LN is 28 centimeters. What is the length of LP? 7 cm 9 cm 14 cm 21 cm
2 answers:
Answer: The length of LP is 14 cm.
Step-by-step explanation:
Here, LMNO is a rhombus,
In which LN and MO are the diagonals, intersecting at P.
Since, the diagonals of a rhombus bisect each other,
In rhombus LMNO,
LP = PN and MP = PO,
Here, LN = 28 cm
⇒ LP + PN = 28 cm
⇒ LP + LP = 28 cm
⇒ 2 LP = 28 cm
⇒ LP = 14 cm
Thus, the length of LP is 14 cm.
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So, Both lines are perpendicular
Step-by-step explanation:
We need to identify if lines:
Line 1: (8,12)(7,-5)
Line 2: (-9,3)(8,2)
are parallel, perpendicular, or neither?
- Lines are parallel if they have same slopes i.e slope 1= slope2
- Lines are perpendicular if their slopes are negative inverses of each other i.e slope 1= -1/slope 2
The formula used to find slope is:
Finding Slope of Line 1:
The points are: Line 1: (8,12)(7,-5)
Putting values in the formula:
So, Slope of line 1 is 17
Finding Slope of Line 2:
The points are: Line 2: (-9,3)(8,2)
Putting values in the formula:
So, Slope of line 2 is
Since
So, Both lines are perpendicular
Keywords: Slope of Lines
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