Question

In the figure, PA=3cm, AB=13 cm, CD=8 cm. Find
a. PC*PD
b. Length of PC

Answer 1

Answer:

PC = 3 AND PD=11

Step-by-step explanation:

ANS PC LENGHT IS 3

Answer 2

Solution :-

given that,

→ PA = 3 cm

→ AB = 13 cm .

So,

→ PB = PA + AB = 3 + 13 = 16 cm

→ CD = 8 cm .

Let us assume that, PC is equal to x cm .

So,

→ PC * PD = PA * PB { Intersecting secant theorem. }

→ PC * PD = 3 * 16

→ PC * PD = 48 (Ans.)

now,

→ x * (x + 8) = 48

→ x² + 8x - 48 = 0

→ x² + 12x - 4x - 48 = 0

→ x(x + 12) - 4(x + 12) = 0

→ (x + 12)(x - 4) = 0

→ x = (-12) or 4 .

since negative value is not possible .

therefore,

→ PC = 4 cm (Ans.)

Learn more :-

PQ and XY are two chords of a circle such that PQ = 6 cm and XY = 12 cm and PQ||XY. If the distance between the chords i...

https://brainly.in/question/24793483

PQRS is a cyclic quadrilateral with PQ = 11 RS = 19. M and N are points on PQ and RS respectively such that PM = 6, SN =...

https://brainly.in/question/27593946