if quadrilateral ABCD & PORS ore Similar,
determine value of x
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In the given Figure, △ABC∼△ PQR and quad ABCD ∼ quad PQRS. Determine the values of x,y,z in each case.
969535
Easy
Answer
△ABC∼△PQR
PQ
AB
=
QR
BC
=
PR
AC
∴
9
12
=
x
7
=
y
10
⇒
9
12
=
x
7
∴ x=5.25
⇒
9
12
=
y
10
∴ y=7.5
Now, QuadABCD∼QuadPQRS
Then,
PQ
AB
=
QR
BC
=
RS
CD
=
PS
AD
x
16
=
y
50
=
z
3
50
=
7
20
⇒
x
16
=
7
20
∴ x=5.6
⇒
y
50
=
7
20
∴ y=17.5
⇒
3z
50
=
7
20
⇒ 3z=17.5
⇒ z=5.83
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