Line segment Q R , Line segment R S are Line segment S Q 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

The Midsegment Theorem states that the midsegment connecting the two sides of a triangle is parallel to the third side, and its length is half that of the third side.

Thus, ∆XYZ is similar to ∆QRS with a scale factor of 2.

Also, the perimeter of ∆XYZ is twice that of ∆QRS.

For ∆QRS, P = 2.93 cm + 2.04 cm + 2.28 cm = 7.25 cm

∴ The perimeter of ∆XYZ = 2 × 7.25 cm =14.50 cm

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abidemiokin abidemiokin · Answer 2 · 2021-12-22T18:00:00+01:00

The Perimeter of triangle WXY is 14.5cm

The formula for calculating the perimeter of the triangle WXY is given as:

Perimeter of triangle WXY = XY + YZ + XY

From the given triangle;

QR = 2.93cm
QS = 2.28cm
RS = 2.04cm

Also,

XR = RY = QR = 2.93cm
ZS = SY = QS = 2.28cm
ZQ = QX = RS = 2.04cm

Perimeter of triangle WXY = 2QR + 2QS + 2RS

Perimeter of triangle WXY = 2(2.93) + 2(2.28) + 2(2.04)

Perimeter of triangle WXY = 5.86 + 4.56 + 4.08

Perimeter of triangle WXY = 14.5cm

Hence the Perimeter of triangle WXY is 14.5cm

Learn more on perimeter of triangles here: https://brainly.com/question/24382052