Question

8.
In
AXYZ
and
ARPQ
as
shwon
,
XY
=
6
cm
,
XZ
=
5
cm
,
2X
=
50
°
PR
=
6
cm
,
PQ
=
5
cm
,
and
P
=
50
°
Prove
that
ZZ
=
ZQ
and
write
the
correspondence
Prove that corresponding angles are equal.
Х
N
for YZ
Y​

Answer 1

given that triangle XYZ ~ triangle PQR.

Also, in triangle XYZ, YZ = 6 cm, XZ = 5 cm and XY = 4 cm

In triangle PQR, PQ = 4 cm

Since, triangle XYZ ~ triangle PQR

Therefore, XY/PQ = YZ/QR = XZ/PR

So, 4/8 = 1/2

Since ratio of one side of both the triangle is in proportion 1/2, so all sides of both the triangles will have same proportion.

Therefore, YZ/QR = 6/QR =1/2

So, QR = 12 cm

Similarly we can find PR:

XZ/PR = 5/PR = 1/2

Therefore, PR = 10 cm

So we have got both the sides

HOPE IT HELPS YOU.