Given that pq=5 units, find the value of k

i need immediately

P and Q are going to be the same thing because R is 90 degrees

Step-by-step explanation:

if R is 90 degrees that means P and Q are going to be the same so the answer is (4,8) If you don't understand then here 90 + 90= 180 a triangle is 180

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4