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ABC is a right angled triangle. B being ...

ABC is a right angled triangle. B being the right angle. Mid-points of BC and AC are respectively B' and A'. Area of `DeltaA'B'C'` is

A

`1/2 xx DeltaABC` का क्षेत्रफल

B

`2/3 xx DeltaABC` का क्षेत्रफल

C

`1/4 xx DeltaABC` का क्षेत्रफल

D

`1/8 xx DeltaABC` का क्षेत्रफल

Text Solution

Verified by Experts

The correct Answer is:
C
`Delta ABC ` एवं `Delta A.B.C` में,
`A.B. || AB`
`therefore angleB.= angleB, angleA. = angleA`
`therefore angleABC ~ Delta A.B.C`
`therefore AB. = 1/2 AB`
`Delta A.B.C` का क्षेत्रफल `=1/2 B.C xx AB`
`= 1/2 xx 1/2 BC xx 1/2 AB`
`= 1/4 ( 1/2 xx BC xx AB)`
`= 1/4 xx Delta ABC` का क्षेत्रफल
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