A point P moves such that it is equidistant from Points Q and R. Find QR when PR = 8cm and angle PRQ = 30°

Craig Duffy

9 years ago

The way he solved it isnt orrect... the locus of DAT point denotes an isosceles triangle. so the angles of d base is equal since PQ=PR ( according to d question). Thus, the sum of angles in a triangle = 180;



angle P + angle R + angle Q = 180



angle P + 30° + 30°=180°



angle P = 180°-60°



angle P= 120°.



we can also find QR by using Sine formlae;



8/ sin30 = x/ sin 120



cross multiply..



8sin120= xsin30



8×√3/2 = x/2



cross multiply and solve for x



x = 8√3

de Fabolous dimi

8 months ago

oluwa o🥲

lizziebee

4 years ago

The answer selected is only half of QR. It should be multiplied by 2 to give the answer as 8√3cm

kriboy

12 years ago

i think the workings is eronious.bcos cos 30 suppose 2 b √3/2,wich wil giv us 4√3as total nd nt 8√3

kriboy

12 years ago

i think the workings is erronious.bcos cos 30 suppose 2 b √3/2,wich wil giv us 4√3as total nd nt 8√3

lian

2 months ago

P
/ | \
/ | \
/ | \ 8cm
/ | \
/30° | 30°\
/_____ | ______\
Q M R

|PR| = 8cm

Olaniyipaul21

8 months ago

I need theory