if PR=12cm OR=6cm and PL =8cm of triangle find OM
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Step-by-step explanation:
Option (c) is corrmt
Given that PL=8cm
PR=12cm
QR=6cm
Now, In right-angled triangle PLR
Using Pythagoras theorem,
⇒PR2=PL2+LR2
⇒LR2=144−64
⇒=80=45cm
LR=LQ+QR
⇒LQ=LR−QR=(45)cm
Now area of triangle PLR
A=21×(45)×8
=165cm2
Now, area of triangle PLQ
A=21×(45)×8
=(165−24)cm2
Hence, area of triangle PLR = Area on triangle PLQ + Area of triangle PQR
So, area of triangle PLR − Area on triangle PLQ = Area of triangle PQR
⇒165−(165−24),
⇒ Area of triangle PQR =24cm2
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