Chapter 8: Q25. (page 288)

Refer to the figure at the right.
If $J M = 4$ and $J K = 9$ , find $L K$ .

Short Answer

Expert verified

The required valueis $L K = 3 \sqrt{5}$ .

Step by step solution

Step 1. Given information.

In the given figure,

$J M = 4 & J K = 9$

Step 2. Concept used.

When the altitude is drawn to the hypotenuse of a right triangle,

The length of the altitude is the geometric mean between the segments of the hypotenuse.

Step 3. Find out the required value by using this concept.

In the given triangle,

$\begin{matrix} \frac{J K}{L K} = \frac{L K}{M K} \\ \frac{9}{L K} = \frac{L K}{J K - J M} \\ \frac{9}{L K} = \frac{L K}{9 - 4} \\ \frac{9}{L K} = \frac{L K}{5} \\ {(L K)}^{2} = 45 \\ L K = 3 \sqrt{5} \end{matrix}$

Therefore, the required value is $L K = 3 \sqrt{5}$ .

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Refer to the figure at the right.
If $J M = 4$ and $J K = 9$ , find $L K$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Find out the required value by using this concept.

One App. One Place for Learning.

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Refer to the figure at the right.If JM=4 and JK=9, find LK.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Find out the required value by using this concept.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Theoretical and Mathematical Physics

Mechanics Maths

Statistics

Calculus

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Refer to the figure at the right.
If $J M = 4$ and $J K = 9$ , find $L K$ .