Question

3.4. In Fig. 24, PQ and RS are line segments on I and m respectively. If PQ||RS and QR|ITS, then find La.
R
85°
Fig. 24
88 .
please tell me fast​

Answer 1

Answer:

Step-by-step explanation:

∵PQ=RSandPN∥QM

⇒∠RPN=∠SQM⟶(1)

andPR=QS⟶(2)

also,RN∥SM

⇒∠PRN=∠QSM⟶(3)

Then,△PRN≅△QSM(byASA)

⇒PN=QMandRN=SM(CPCT)

since,PN∥QMandPN=QM

⇒PQMNisaparallelogram

similarly,RN∥SMandRN=SM

⇒RSMNisaparallelogram

Thus,PQ=MNandPQ∥MN

Answer 2

Answer:

Given :

The length and breadth of rectangle are 12 cm and 9 cm respectively

To find :

the side of the square with perimeter equal to the rectangle

Solution :

l = 12

b = 9

4a = 2 (l + b)

4a = 2 (12 + 9)

4a = 2 × 21

4a = 42

a = 42/4

a = 10.5

Extra information :

Volume of cylinder = πr²h

T.S.A of cylinder = 2πrh + 2πr²

Volume of cone = ⅓ πr²h

C.S.A of cone = πrl

T.S.A of cone = πrl + πr²

Volume of cuboid = l × b × h

C.S.A of cuboid = 2(l + b)h

T.S.A of cuboid = 2(lb + bh + lh)