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Consider the triangle ∆PQR and the given measures for each item below. Determine what is/are asked.
[tex] \: [/tex]
1.) Given: m∠P = 90, m∠Q = 60
Questions: What is the shortest side of ∆PQR? What is the longest side of ∆PQR?

2.) Given: m∠P = 98, m∠Q = 42
Questions: What is the shortest side of ∆PQR? What is the longest side of ∆PQR?

3.) Given: PR = 7, QR = 5
Question: What could be the possible lengths of PQ?

4.) Given: PQ = 3, QR = 6, PR = 8
Questions:What is the smallest angle of ∆PQR? What is the largest angle of ∆PQR?

5.) Given: PQ = 10, PR = 3
Question: What could be the possible lengths of QR?
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Unhelpful and/or incomplete answers will be deleted. ​​

Sagot :

DubuChewyidn

Consider the triangle ∆PQR and the given measures for each item below. Determine what is/are asked.

[tex] \: [/tex]

1.) Given: m∠P = 90, m∠Q = 60

Questions: What is the shortest side of ∆PQR? What is the longest side of ∆PQR?

[tex]<P = 90° \\ <Q= 60° \\ <R= 30° [/tex]

  • In front of the smallest angle is the shortest side

  • The shorter side = PQ
  • The longest side = QR

2.) Given: m∠P = 98, m∠Q = 42

Questions: What is the shortest side of ∆PQR? What is the longest side of ∆PQR?

[tex]<P = 98° \\ <Q = 420° \\ < R = 40° [/tex]

  • The shortest side = PQ
  • The longest side =QR

3.) Given: PR = 7, QR = 5

Question: What could be the possible lengths of PQ?

[tex]PR = 7 \\ QR= 5[/tex]

  • The possible 6 of PQ is between 2< PQ <12

4.) Given: PQ = 3, QR = 6, PR = 8

Questions:What is the smallest angle of ∆PQR? What is the largest angle of ∆PQR?

[tex]PQ = 3 \\ QR = 6 \\ PR = 8[/tex]

  • The smallest angle = < R

5.) Given: PQ = 10, PR = 3

Question: What could be the possible lengths of QR?

[tex]PR = 10 \\ PR = 3[/tex]

  • The possible 6 of QR is between 7 <QR <13
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