Chapter 8: Q26. (page 288)

Refer to the figure at the right.
If $J M = 3$ and $M K = 9$ , find $L J$ .

Short Answer

Expert verified

The required value is $L J = 6$ .

Step by step solution

Step 1. Given information.

In the given figure,

$J M = 3 & M K = 9$

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,

$\begin{matrix} \frac{J K}{L J} = \frac{L J}{J M} \\ \frac{J M + M K}{L J} = \frac{L J}{3} \\ \frac{3 + 9}{L J} = \frac{L J}{3} \\ \frac{12}{L J} = \frac{L J}{3} \\ {(L J)}^{2} = 36 \\ L J = 6 \end{matrix}$

Therefore, the required value is $L J = 6$ .

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Refer to the figure at the right.
If $J M = 3$ and $M K = 9$ , find $L J$ .

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=3and MK=9, find LJ.

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

Logic and Functions

Calculus

Theoretical and Mathematical Physics

Mechanics Maths

Pure Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Refer to the figure at the right.
If $J M = 3$ and $M K = 9$ , find $L J$ .