Question

In the given figure, tangent PT = 5 cm, PA = 4 cm, find
AB:
Т.
7
B
(A)
cm
4
11
PS
A
(B) - cm
4
o
mit Flai
(C)
cm
4
(D)
Can't be determined​

Answer 1

Step-by-step explanation:

In right angled ΔAMO

(AM)2+(OM)2=r2

AB=5cm→AM=25cm. (M is midpoint if AB)

OM=r2−425

In right angled ΔPTO

(PT)2+(OT)2=(PO)2

62+r2=(PO)2

PO=r2+36

In right angled ΔPMO

(PM)2+(OM)2=(OP)2

(PM)2+r2−425=r2+36

(PM)2=4169

PM=213

PM=PA+AM

PA=PM−AM=213−25=4cm.