Question

help me guys i want step by step explanation

Answer 1

let
AR= AS = X
BS= BE = y
CR = CE = z
so according to the question
X+y = 7 cm ........EQ 1
y+z = 8 cm ..........EQ 2
X+z = 9 cm ..........EQ 3
X = 7-y
z = 8-y
adding EQ 1 ,2 and 3 we get
2( X+y+z) = 24
X+y+z= 12
(7-y) + y +(8 -y) = 12
15-y = 12
y = 3cm
X = 4 cm
z = 5 cm
so CE = 5 cm
AP = AQ
AR +RC + CP = AS+SB+ +BQ
AR = AS
RC+ CP = BS + BQ
by putting values of
RC and BS we get
5 + CP = 3 + BQ
BQ -CP = 2 ...........EQ 4

BD = BQ
and
CD = CP
BD + CD = 8 cm so
BQ + CP = 8 cm .........EQ 5
solving equations 4 and 5 we get
BQ = 5 cm
CP = 3 cm
AQ = AB+ BQ = 7+5 = 12 cm

AP = AC+ CP = 9+3 = 12 cm