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Chapter 12: Q3. (page 484)

V- ABCD is a regular square pyramid. Find the following numerical answers.

l=___

Short Answer

Expert verified

The length of l is10鈥嬧赌嬧赌夆赌塽苍颈迟 .

Step by step solution

01

Step 1. Given information.

The given V鈭�ABCDis a regular square pyramid.

Also,AB=12 and BC=12.

02

Step 2. Determine the value.

The edge length of square base is 12 and height of pyramid is 8.

The length of OMcan be calculated as:

OM=12AB=12(12)=6

In 螖VOM, apply Pythagoras Theorem to calculate the slant height.

(VO)2+(OM)2=(VM)282+62=l2l2=64+36l2=100

Further simplify.

l=100=卤10

The height cannot be negative. Neglect the negative value of l.

Therefore, the value of the slant height l is 10 unit.

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