Chapter 12: Q9. (page 484)

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

Short Answer

Expert verified

The length of XO is $2 \sqrt{3} unit$ .

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.

From the given figure it can be considered that the triangle XYZ is an equilateral triangle. Each edge of pyramid XYZ is equal to 6. Also, the length of XM is $3 \sqrt{3}$ .

It is known that the circumcentre divides the altitude in 2:1. So, the length of XO can be determined as:

$\begin{matrix} X O = \frac{2}{3} X M \\ = \frac{2}{3} (3 \sqrt{3}) \\ = 2 \sqrt{3} \end{matrix}$

Therefore, the length of XO is equal to $2 \sqrt{3}$ .

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

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the value.

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

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

Decision Maths

Applied Mathematics

Discrete Mathematics

Calculus

Mechanics Maths

Geometry

Study anywhere. Anytime. Across all devices.

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