Chapter 8: Q29. (page 288)

Refer to the figure at the right.
If $L K = 3 \sqrt{6}$ and $M K = 6$ , find $J M$ .

Short Answer

Expert verified

The required valueis $J M = 3$ .

Step by step solution

Step 1. Given information.

In the given figure,

$L K = 3 \sqrt{6} & M K = 6$

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,

$\begin{matrix} \frac{J K}{L K} = \frac{L K}{M K} \\ \frac{J M + M K}{3 \sqrt{6}} = \frac{3 \sqrt{6}}{6} \\ J M + 6 = \frac{54}{6} \\ J M + 6 = 9 \\ J M = 3 \end{matrix}$

Therefore, the required valueis $J M = 3$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Refer to the figure at the right.
If $L K = 3 \sqrt{6}$ and $M K = 6$ , find $J M$ .

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

Applied Mathematics

Discrete Mathematics

Decision Maths

Theoretical and Mathematical Physics

Logic and Functions

Statistics

Study anywhere. Anytime. Across all devices.

Refer to the figure at the right.If LK=36 and MK=6, find JM.

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

Applied Mathematics

Discrete Mathematics

Decision Maths

Theoretical and Mathematical Physics

Logic and Functions

Statistics

Study anywhere. Anytime. Across all devices.

Refer to the figure at the right.
If $L K = 3 \sqrt{6}$ and $M K = 6$ , find $J M$ .