Question

question
triangle rst is formed by connecting the mid - points of the side of triangle opq. the lengths of the sides of triangle rst are shown. find the perimeter of triangle opq. figures not necessarily drawn to scale.
answer attempt 1 out of 2
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Explanation:

Step1: Recall mid - point theorem

The segment joining the mid - points of two sides of a triangle is half the length of the third side of the triangle.

Step2: Find side lengths of OPQ

If the side lengths of $\triangle RST$ are $3$, $4$, and $4$. Then the corresponding side lengths of $\triangle OPQ$ are $2\times3 = 6$, $2\times4=8$, and $2\times4 = 8$.

Step3: Calculate perimeter of OPQ

Perimeter of $\triangle OPQ=6 + 8+8=22$.

Answer:

22