Question

Please answer this question​

Answer 1

Step-by-step explanation:

PAB is 144cm

PA AND PB 4cm

PM90%

Answer 2

Answer:

12cm

Step-by-step explanation:

given AB is lesser than the sum of PA and PB by 4cm

that is AB + 4 = PA + PB                   ----(1)

perimeter = 144cm = AB + PA + PB ----(2)

substitute value of PA + PB from equation 1 in equation 2

we get

144 = AB + AB + 4

144 - 4 = 2AB

140 = 2AB

∴AB = 70cm

since p is the center PA and PB are equal and radius of the circle

so, PA = PB                                     ----(3)

Apply the value of AB and equation 3 in equation 1

we get,

70 + 4 = PA + PA

74 = 2PA

∴PA = PB = 37cm

from the diagram we get MB = AB/2

∴MB = 70/2 = 35cm

Apply pythogorus theorem in ΔPBM,

we get,

PM² = PB² - MB²

PM² = 37² - 35² = 1369 - 1225 = 144

PM² = 144

PM = √144

PM = 12cm

∴the length of the segment PM is 12cm