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Chapter 12: Q7. (page 485)

Sketch the following pyramid. Then find its lateral area.

A regular triangular pyramid with base edge 4 and slant height 6.

Short Answer

Expert verified

The sketch of the pyramid will be as shown

The lateral area is 36 square units.

Step by step solution

01

Step 1. Given information.

A regular triangular pyramid with base edge 4 and slant height 6.

02

Step 2. Sketch the pyramid.

Now to draw pyramid, first draw a parallelogram for the base and sketch diagonals and then draw a vertical segment at the point where the diagonal intersects and then join the vertex to the base vertices,

Thus, the pyramid can be obtained as:

03

Step 3. Interpretation.

Form the above graph and side and height it can be observed that the lateral area of pyramid is 36 square unit.

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