Question

∆XYZ ~ ∆PQR if xy=4cm,yz=5cm,xz=7cm,pq=8cm then perimeter of ∆PQR is_____cm

Answer 1

Answer:

32cm

Step-by-step explanation:

now given ==

xy=4cm

yz=5cm

xz=7cam

pq=8cm

now

∆XYZ ~ ∆PQR ∴

• xy  ~ pq
• yz ~ qr
• xz ~ pr

= xy ~ pq = 4 ~ 8 = 1 ~ 2, ∴ the sides of the triangle are in the ratio 1:2

that means

=} 2xy = pq

2yz = qr

2xz = pr

from given we can say that

2(5)=qr

=}qr=10 cm

2(7)=pr

=}pr=14cm

now we got all the three sides

=} 8cm, 10cm, 14cm

perimetre of triangle=side+side+side

=}8+10+14

=}18+14

=}32cm

∴ the perimetre =} 32cm