Question

If line PQ = 3 units, PR = 8 units and PT = 12 units. how long is PS?

Answer 1

here u have to use
PR*PQ =PT*PS

Answer 2

thus PS=PR*PQ/PT

Answer 3

PS = 8x3 / 12

24/12

PS=2units

Did I get it right?

Answer 4

\[\frac{ 8 }{ 3 }=\frac{ 12 }{ x }\] \[x=\frac{ 12*3 }{ 8 }=\frac{ 36 }{ 8 }=4.5\]

Answer 5

Can I ask what theorem or postulate is being used?

Answer 6

i just placed corresponding sides equal

Answer 7

i mean their ratios

Answer 8

Okay then, how long is Pr if Pu = 12cm and PQ = 6cm ?

Answer 9

\[\frac{ 12 }{ PR }=\frac{ 12 }{ 4.5}\] PR=4.5

Answer 10

why did you use 4.5 ?

Answer 11

@Roshee
2 is correct for the question u posted

Answer 12

Was that the Cross-Products Property?

Answer 13

@Roshee
how long is Pr if Pu = 12cm and PQ = 6cm
in this case use PQ.PR =PU*PU
and hence PR= PU*PU/PQ

Answer 14

why multiply 2 PU ?

Answer 15

PR = 12 x 12 divided by 6cm = 144 / 6 = 24cm