hi!! please help :) i hope you guys are having a good day/night!!

Hi!! Please Help :) I Hope You Guys Are Having A Good Day/night!!

Answers

Answer 1

Answer:

x = 13, y = 26

The length of the sides of Δ QRS are QR = 104, QS = 468, RS = 76

Step-by-step explanation:

In ΔRQS

∵ M is the mid-point of side RQ

→ That means M divide RQ into 2 equal parts RM and MQ

RM = MQ

∵ RM = 4x

∵ MQ = 52

→ Equate them

4x = 52

→ Divide both sides by 4 to get x

x = 13

∵ P is the mid-point of side QS

→ That means P divide QS into 2 equal parts QP and PS

QP = PS

∵ QP = 9y

∵ PS = 234

→ Equate them

9y = 234

→ Divide both sides by 9 to get y

y = 26

→ Find the length of each side

∵ RQ = 52 + 52

RQ = 104

∵ QS = 234 + 234

QS = 468

∵ RS = 38 + 38

RS = 76

∴ The length of the sides of Δ QRS are QR = 104, QS = 468, RS = 76

Note: PS = 234 is wrong because it made the length of the sides QS = 468, which could not be because the sum of any 2 sides of a triangle must be greater than the 3rd side. So check it.


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Fill in the blank

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Answers

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=========================================================

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Answers

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