Question

question 7 please fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast fast​

Answer 1

Answer:

Area ( ΔABC ) = 16 cm²

Step-by-step explanation:

According to similarity concept of triangles, Area of two similar triangles are in the ratio of Square of their similar sides.  [ Theorem ]

That is, if ΔABC is similar to ΔDEF, then area of the two triangles are in the ratio of ( AB/DE )² or ( BC/EF )² or ( AC/DF )²

According to the question,

ΔABC is similar to ΔPQR. Also Area of ΔPQR = 144 cm².

We are required to find the Area of ΔABC, if ( BC/QR ) = ( 1/3 )

According to the theorem,

⇒ Area ( ΔABC ) / Area ( ΔPQR ) = ( BC/QR )²

⇒ Area ( ΔABC ) / 144 = ( 1/3 )²

⇒ Area ( ΔABC ) / 144 = 1/9

⇒ Area ( ΔABC ) = 144 × 1/9

⇒ Area ( ΔABC ) = 16 cm²

Therefore Area of the ΔABC is 16 cm².

Hope it helped !!

Answer 2

Answer:

16cm²

Step-by-step explanation:

Refer the attachment!