Question

In triangle pqr, rs=4 and qs=6. find ps

Answer 1

`PS=2√(6)`

Explanation:

we are given triangle as

we know that

triangle PRS and triangle PQS are similar

so, the ratios of their sides must be equal

we get

`(RS)/(PS)=(PS)/(QS)`

now, we are given

RS=4

QS=6

we can plug it

`(4)/(PS)=(PS)/(6)`

`PS^2=6* 4`

`PS^2=24`

now, we can solve for PS

`PS=2√(6)`