Area of ΔABC=36 and area of ΔPQR=64. The correspondence ABC⇔PQR is a similarity. If AB=12, then PQ = .......,Fill in the blank so that the given statement is true.
Answers
Answered by
12
Hi ,
**************************************
The ratio of the areas of two similar
triangles is equal to the ratio of the
squares of their corresponding sides.
***************************************
It is given that ,
∆ABC ~ ∆PQR
Area of ∆ABC = 36
Area of ∆PQR = 64
AB = 12 , PQ = ?
PQ²/AB² = ( ∆PQR )/( ∆ABC )
PQ²/12² = 64/36
PQ² = ( 64 × 144 )/36
= 64 × 4
PQ = √ 256
PQ = 16
I hope this helps you.
: )
**************************************
The ratio of the areas of two similar
triangles is equal to the ratio of the
squares of their corresponding sides.
***************************************
It is given that ,
∆ABC ~ ∆PQR
Area of ∆ABC = 36
Area of ∆PQR = 64
AB = 12 , PQ = ?
PQ²/AB² = ( ∆PQR )/( ∆ABC )
PQ²/12² = 64/36
PQ² = ( 64 × 144 )/36
= 64 × 4
PQ = √ 256
PQ = 16
I hope this helps you.
: )
Similar questions