Chapter 12: Q8. (page 484)

Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.
$X M =___$

Short Answer

Expert verified

The length of XM is $3 \sqrt{3} unit$ .

Step by step solution

Step 1. Given information.

The given $V - X Y Z$ pyramid:

Each edge of pyramid is equal to 6.

Step 2. Determine the value.

The length of XMcan be determined by using Pythagoras Theorem in triangle $X M Y$ as:

$\begin{matrix} X M^{2} + M Y^{2} = X Y^{2} \\ X M^{2} = X Y^{2} - M Y^{2} \\ X M = \sqrt{X Y^{2} - M Y^{2}} \end{matrix}$

Further simplify.

$\begin{matrix} X M = \sqrt{6^{2} - 3^{2}} \\ = \sqrt{36 - 9} \\ = 3 \sqrt{3} \end{matrix}$

Therefore, the length of XM is equal to unit. $3 \sqrt{3}$

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.

Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.
$X M =___$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Applied Mathematics

Calculus

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.XM=___

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Applied Mathematics

Calculus

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.
$X M =___$