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find the perimeter when 118 triangles are put together in the pattern s…

Question

find the perimeter when 118 triangles are put together in the pattern shown below. assume that all triangle sides are 1 cm long. the perimeter is cm

Explanation:

Step1: Observe the pattern

For 1 triangle, perimeter = 3 cm. For 2 triangles, perimeter = 4 cm. For 3 triangles, perimeter = 5 cm.

Step2: Find the formula

The perimeter \(P\) of \(n\) triangles in this pattern is \(P=n + 2\).

Step3: Calculate the perimeter for 118 triangles

Substitute \(n = 118\) into the formula \(P=n + 2\), so \(P=118+2=120\) cm.

Answer:

120