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Chapter 12: Q9. (page 484)

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

XO=___

Short Answer

Expert verified

The length of XO is23鈥夆赌塽苍颈迟 .

Step by step solution

01

Step 1. Given information.

The givenV鈭�XYZpyramid:

Each edge of pyramid is equal to 6.

02

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 33.

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

XO=23XM=23(33)=23

Therefore, the length of XO is equal to23 .

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