In a parallelogram ABCD, the bisector of angle ABC intersects AD at P. If PD = 5, BP = 6 and
CP = 6, find AB
(A) 5
(B) 4
(C) 6
(D) 8
Answers
Step-by-step explanation:
Answer: Step-by-step explanation: ABCD. ⇅. Angle abc bisector ( bisect means to cut into 2 parts equally and exactly) So it means the line intersect AD at P Pd-5 cm . BP-6 cm CP-6 cm Find AB IN CENTIMETERS Method 1. : BP And CP -6 cm PD-5 cm If PD-5 cm, then PB,PA,PC are 5 cm since p is same length as p and p is the point where they meet so all P are equal . Here it is simple ( I already worked out the question two times and got the same answer on calculator ) Sides of parallelogram is BP , CP and the two unknown were DA , AD and AP , AB If BP -6 so CP -6 If PD- 5 then PA-5 6+6= 12 cm 5+5= 10 cm Thus , 12+ 10 cm= 22 cm _ > perimeter 6+6+6+6=24 5+5+5+5=20 This is the final and right answer= 24+ 20 cm = 44 cm Parallelogram has four sides 44 divide by 4 = 11 Answer = 11 cm Now I will explain to u in simple method 2 PA 5 cm , PD 5 cm BP 6 cm , CP 6 cm Trick : PA+ BP or PD+ CP = 5cm + 6 cm = 11 cm