In the given figure, PB and QA are perpendiculars to segment AB. If PO=5 cm, QO = 7 cm and area of ∆POB = 150 cm^2, find the area of ∆QOA.
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Answer:
In △OAQ and △OBP, we have
∠A=∠B [Each equal to 90
∘
]
∠AOQ=∠BOP
So, by AA-criterion of similarity, we have
△AOQ∼△BOP
⇒
Area(BOP)
Area(△AOQ)
=
OP
2
OQ
2
⇒
150
Area(△AOQ)
=
5
2
7
2
⇒ Area(△AOQ)=
25
49
×150cm
2
=294cm
2
Answered by
1
Step-by-step explanation:
It has many applications in daily life. Several devices, such as hydraulic lift and hydraulic brakes, are based on Pascal's law. Fluids are used for transmitting pressure in all these devices. In a hydraulic lift, as shown in the figure above, two pistons are separated by the space filled with a liquid.
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