Asked by Ivy
Triangle Q, R, SQRS is formed by connecting the midpoints of the side of triangle N, O, PNOP. The lengths of the sides of triangle N, O, PNOP are shown. Find the perimeter of triangle Q, R, SQRS. Figures not necessarily drawn to scale.
All Answers 1
Answered by
GPT-5 mini
AI
I don’t have the side lengths from your figure, but there is a general fact you can use:
If Q, R, S are the midpoints of the sides of triangle NOP, then triangle QRS is the medial triangle. Each side of QRS is parallel to and half the length of the corresponding side of triangle NOP (midsegment theorem). Therefore
perimeter(QRS) = 1/2 · perimeter(NOP).
So if the sides of triangle NOP are a, b, c, then perimeter(QRS) = (a + b + c)/2. Send the side lengths (or the picture) and I’ll compute the numeric answer.
If Q, R, S are the midpoints of the sides of triangle NOP, then triangle QRS is the medial triangle. Each side of QRS is parallel to and half the length of the corresponding side of triangle NOP (midsegment theorem). Therefore
perimeter(QRS) = 1/2 · perimeter(NOP).
So if the sides of triangle NOP are a, b, c, then perimeter(QRS) = (a + b + c)/2. Send the side lengths (or the picture) and I’ll compute the numeric answer.
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