In the diagram TQ is 18 units in length What is the length o

In the diagram, TQ- is 18 units in length. What is the length of RS-? 16 units 18 units 25 units 46 units

Solution:

Since Both trinagle is right QST and RST

TQ = TR ( given)

angle <RTS = angel <QTS = 90

and TS = TS same side

are congruence to each other by SAS

Now

TQ = 18 = 2x +10

x = 4

Now

RS = QS = 9x-11

Plug x = 4

we get

RS = 9*4 -11 = 36-11 = 25

RS = 25

Option (c) is correct 25