Question

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

Answer 1

Answer:

$PS=2\sqrt{6}$

Step-by-step 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

$\frac{RS}{PS}=\frac{PS}{QS}$

now, we are given

RS=4

QS=6

we can plug it

$\frac{4}{PS}=\frac{PS}{6}$

$PS^2=6\times 4$

$PS^2=24$

now, we can solve for PS

$PS=2\sqrt{6}$