do it with full method
Answers
Answer:
Answer:
The answer to this question is 5/4 = 1.25
Step-by-step explanation:
Considering triangle ΔACB, As PA is the tangent to the circle having centre at O then Angle C will be 90 degrees from the point of contact.
Now
AB^{2} = AC^{2} + BC^{2}AB
2
=AC
2
+BC
2
AC = 4cm
BC = 3cm
Hence,
AB^{2} = 4^{2} + 3^{2}AB
2
=4
2
+3
2
AB^{2} = 16 + 9 < /p > < p > [tex]AB^{2} = 25 [tex]cm^{2}AB
2
=16+9</p><p>[tex]AB
2
=25[tex]cm
2
AB = \sqrt{25}
25
AB = 5 cm
As AB is the diameter of the circle with centre O.
OA = \frac{1}{2} AB
2
1
AB
As given in the question triangle ACB is similar to PAO
\frac{AC}{PA} = \frac{BC}{AO} = \frac{AB}{PO}
PA
AC
=
AO
BC
=
PO
AB
\frac{4}{PA} = \frac{3}{2.5} = \frac{5}{PO}
PA
4
=
2.5
3
=
PO
5
\frac{4}{PA} = \frac{5}{PO}
PA
4
=
PO
5
Hence proved that,
\frac{OP}{AP} = \frac{5}{4}
AP
OP
=
4
5
Step-by-step explanation:
statement expressing the essential nature of something; formulation. Definition (noun) The action or process of defining. Definition (noun) The act of defining; determination of the limits.