Question

what is the value of x?

Answer 1

Here, ratio of corresponding sides (smaller to longer) would be same:
so, x/9 = 16/x
x² = 144
x = √144
x = 12

In short, Your Answer would be 12

Hope this helps!

Answer 2

Answer:

x=12  

Step-by-step explanation:

It is given that SRQ is a right angled triangle in which ∠SRQ is  90° and RT is the altitude drawn from R.

Therefore, by using the right triangle altitude theorem which states that the the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse. Thus,

$(RT)^2=(ST)(TQ)$

$(x)^2=(9)(16)$

$x^2=144$

$x=12$

Thus, the value of x is 12.