Draw the image of the following triangle after a dilation centered at the origin with a scale factor of 5/3.

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  see attached

Step-by-step explanation:

Each point moves to 5/3 its original distance from the origin.

you need to rotate this triangle about the origin 270 degrees clockwise to create the full square.

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!