Question

The area of triangle ABC is 27cm² and AB= 6cm

Answer 1

Answer:

ar △ABC=27cm

2

ABCF is a ∥gm in which EF∥BC. Also, AF∥BC

Now, in △ABC and △ACF

(i) ∠BAC=∠ACF [Alternate angles]

(ii) AC = AC [common]

(iii) AF = BC [∵AF∥BC]

Therefore, △ABC≅△ACF [By SAS congreuncy]

Hence, ar △ABC=△ACF [By CPCT]

∴ar△ABC=ar△ACF=27cm

2

And ar ∥gmABCF=ar△ABC+ar△ACF=27+27=54cm

2

Step-by-step explanation:

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