Point O is the center of the circle. What is the value of x?
1 answer:
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Answer:
Step-by-step explanation:
Given:
➳ AC || RP
➳ AC = 18 units
➳ AR = 14 units
➳ RB = 7 units
➳ CP = 10 units
To find:
perimeter of triangle ABC =?
Solution:
in ∆ABC and ∆RBP
since we know AC || RP,
then ∠ACP = ∠RPB
and ∠CAB = ∠PRB (Property of parallel lines)
and ∠B is a common angle in both traingles,
hence ∆ABC ~ ∆RBP from AAA property!
now,
using the properties of similar triangle,
To find perimeter of ∆ABC, add all the components.
Perimeter of ∆ABC = AR + RB + BP +PC + CA
Perimeter of ∆ABC= 14 + 7 +5 +10 + 18 units
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