7. In the figure, PQ = 7.5cm, QR = 12cm, PR = 10cm. Which of the following
statements is true? *
P
7.5cm
10cm
Q
12cm
R
O PQR > PRQ > ZRQP
N
OPRQ > PQR > ZQPR
O ZQPR > ZPRQ > PQR
O ZOPR > ZPQR > ZPRQ
Answers
Answer:
In the figure, PQ = 7.5cm, QR = 12cm, PR = 10cm. Which of the following
statements is true? *
P
7.5cm
10cm
Q
12cm
R
O PQR > PRQ > ZRQP
N
OPRQ > PQR > ZQPR
O ZQPR > ZPRQ > PQR
Step-by-step explanation:
In the figure, PQ = 7.5cm, QR = 12cm, PR = 10cm. Which of the following
statements is true? *
P
7.5cm In the figure, PQ = 7.5cm, QR = 12cm, PR = 10cm. Which of the following
statements is true? *
P
7.5cm
10cm
Q
12cm
R
O PQR > PRQ > ZRQP
N
OPRQ > PQR > ZQPR
O ZQPR > ZPRQ > PQR
10cm
Q
12cm
R
O PQR > PRQ > ZRQP
N
OPRQ > PQR > ZQPR
O ZQPR > ZPRQ > PQR
Given :- In ∆PQR we have, PQ = 7.5cm, QR = 12cm, PR = 10cm.
To Find :- Which of the following statements is true :-
A) ∠PQR > ∠PRQ > ∠RQP
B) ∠PRQ > ∠PQR > ∠QPR
C) ∠QPR > ∠PRQ > ∠PQR
D) ∠QPR > ∠PQR > ∠PRQ
Concept used :- In a triangle :-
- The angle opposite to the greater side is the greatest in measure .
Solution :-
given that, In ∆PQR,
→ PQ = 7.5 cm
→ PR = 10 cm
→ QR = 12 cm
So,
→ 12 cm > 10 cm > 7.5 cm
or,
→ QR > PR > PQ -------- Equation (1)
now,
→ Angle opposite to side QR = ∠QPR
→ Angle opposite to side PR = ∠PQR
→ Angle opposite to side PQ = ∠PRQ
since from equation (1) we have,
→ QR > PR > PQ
therefore, from above told concept ,
→ ∠QPR > ∠PQR > ∠PRQ (Ans.)
Hence, Statement (D) is true for given ∆PQR .
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