PR is tangent to a circle at point P.
PR is tangent to a circle at point P. Q is another point on circle such that PQ is diameter of circle and RQ cuts circle at M. if radius of circle is 4 units and PR=6units. find ratio of triangle PMR to PQR.
Answer/Solution
13/20
Steps/Work
let PM = y
QM= x
MR = 10-x
In triangle PQM,
PM^2+QM^2 = PQ^2
=> x^2+y^2=64 .....(1)
In triangle PMR,
PM^2+ MR^2= PR^2
y^2+(10-x)^2=36......(2)
solving for x and y
x=6.4
y=4.8
taking permineter of triangle PQR =24
perimeter of triangle PMR = 14.4
take ratio 14.4/24= 0.6
ANSWER:C
QM= x
MR = 10-x
In triangle PQM,
PM^2+QM^2 = PQ^2
=> x^2+y^2=64 .....(1)
In triangle PMR,
PM^2+ MR^2= PR^2
y^2+(10-x)^2=36......(2)
solving for x and y
x=6.4
y=4.8
taking permineter of triangle PQR =24
perimeter of triangle PMR = 14.4
take ratio 14.4/24= 0.6
ANSWER:C