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 i

Question

3 years ago

4

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 i

s 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

Mathematics

2 answers:

dolphi86 [110] · Answer 1 · 2022-04-05T09:02:33+03:00

dolphi86 [110]3 years ago

8 0

Answer:

14.50

Step-by-step explanation:

(2.93 x 2)+(2.04 x 2)+(2.28 x 2) = 14.50

Novosadov [1.4K] · Answer 2 · 2022-04-05T07:54:14+03:00

Answer:

14.50 cm

Step-by-step explanation:

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