if triangle abc is similar to pqr then ab=4,bc=6,ac=8andpr=6 then find pq+qr
Answers
Answer:
pq=ab
qr=bc
therefore,
pq+qr
=4+6
=10
Answer:
Thus, we get PQ = \dfrac{9}{2}
2
9
, QR = 3 cm.
Step-by-step explanation:
We are given two similar triangles as \Delta ABC and \Delta PQR. (refer the figure attached)
Also, we know that;
Their corresponding sides would be equal in proportions. So we write as;
\dfrac{AB}{PQ} = \dfrac{AC}{PR} = \dfrac{BC}{QR}
PQ
AB
=
PR
AC
=
QR
BC
Since, we are given as;
AB = 6 cm, AC = 8 cm, BC = 4 cm, PR = 6 cm
\dfrac{6}{PQ} = \dfrac{8}{6} = \dfrac{4}{QR}
PQ
6
=
6
8
=
QR
4
Pick first and second, we get.
\dfrac{6}{PQ} = \dfrac{8}{6}
PQ
6
=
6
8
PQ =\dfrac{9}{2}
2
9
cm
Pick second and third, we get.
\dfrac{8}{6} = \dfrac{4}{QR}
6
8
=
QR
4
QR = 3 cm
Thus, we get PQ = \dfrac{9}{2}
2
9
, QR = 3 cm.
Step-by-step explanation:
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