Question

rhombus lmng 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

Explanation:

Step1: Recall the property of rhombus diagonals

In a rhombus, the diagonals bisect each other. That is, if the diagonals of a rhombus are \(d_1\) and \(d_2\), and they intersect at point \(P\), then \(LP=\frac{1}{2}LN\) (where \(LN\) is one of the diagonals).

Step2: Calculate the length of \(LP\)

Given \(LN = 28\) cm. Using the formula \(LP=\frac{1}{2}LN\), we substitute \(LN = 28\) into the formula: \(LP=\frac{1}{2}\times28\).

$$LP=\frac{28}{2}=14$$

Answer:

14 cm