Question

If ΔABC~ΔPRQ, area of ΔPQR=48cm^2,side PR=6cm then find the length of AC​

Answer 1

Answer:

hey mate here is your answer...

Step-by-step explanation:

Given : ΔABC∼ΔPQR, PQ =20cm

And perimeters of ∆ABC and ∆PQR are 72cm and 48cm respectively.

As, ΔABC∼ΔPQR

∴

PQ

AB

=

QR

BC

=

PR

AC

(corresponding sides are proportional)

⟹

PQ

AB

=

QR

BC

=

PR

AC

=

PQ+QR+PR

AB+BC+AC

⟹

PQ+QR+PR

AB+BC+AC

=

PQ

AB

⟹

perimeter of PQR

perimeter of ABC

=

PQ

AB

⟹

48

72

=

20

AB

⟹AB=30cm