Line segment Q R , Line segment R S and Line segment S Q are midsegments of ΔWXY. Triangle R Q S is inside triangle X Y W. Point R is the midpoint of side X Y, point S is the midpoint of side Y W, and point Q is the midpoint of side X W. The length of Q R is 2.93 centimeters, the length of R S is 2.04 centimeters, and the length of Q S is 2.28 centimeters.

What is the perimeter of ΔWXY?

11.57 cm
12.22 cm
12.46 cm
14.50 cm

14.50 cm

Step-by-step explanation:

Based on the midsegment theorem:

The midsegment connecting two sides of triangle is parallel to the third side of the triangle and the length of the midsegment line is half the length of the third side parallel to the midsegment.

From the diagram ;

QR // ZY

XY = 2 * 2.93 = 5.86

RS // XZ

XZ = 2 * 2.04 = 4.08

QS // XY

XY = 2 * 2.28 = 4.56

The perimeter :

(XY + XZ + XY)

5.86 + 4.08 + 4.56

= 14.50 m

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step-by-step explanation: