Answer:
LN corresponds to RQ
Step-by-step explanation:
If we look at the diagram we find that LN corresponds to RQ, MN corresponds to QP and ML corresponds to PR .
The both triangles are similar as PQR is 2 times of MNL .
Therefore
PQR= 2MNL
PR= 2ML
28= 2(14)
QP= 2MN
20 = 2(10)
RQ =2 LN
24= 2(12)
Answer:
x = 3.6 cm
Step-by-step explanation:
By the theorem of intersecting secants,
"If two secants are drawn from a point outside the circle, product of the lengths of the secant segment and its external segment are equal."
3(3 + y) = 2(2 + 6 + 3)
9 + 3y = 2 × 11
3y = 22 - 9
3y = 13
y = cm = 4.33 cm
Now we will apply theorem of intersecting chords to determine the value of x.
" When two chords intersect each other in a circle, product of their segments are equal"
cm
Therefore, x = 3.6 cm and y = 4.33 cm