Math, asked by avinashmugalihal2910, 3 months ago

In given figure find the length PB.
A 5cm
3cm
P
B​

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Answers

Answered by swarangibagde
4

8cm

Step-by-step explanation:

In tri AOP right angle at P by tangent radius theorem

by pt

(OP)^2 +(AP)^2= (OA)^2

(3)^2 + AP^2 =(5)^2

9+AP^2=25

AP^2 =25 -9

AP^2=16

AP=4 cm

AP+PB

4+4

=8cm

Answered by NᴀʏᴀɴSʜƦᴇʏᴀꜱ
7

Answer:

→ 4 cm

Step-by-step explanation:

Given :

• In the given figure, find the length of PB.

We know that,

→ PA = PB

→ P0 = 3cm

Using Pythagoras theorem :

→ P² + B² = H² (finding B here)

→ P = Perpendicular (25 cm).

→ B = Base (We have to find).

→ H = Hypotenuse (3 cm)

Applying the above theorem :

→ 5² + 3² = B²

→ 25 + 9 = B²

Taking B to the other side we subtract :

→ B² = 25 - 9

→ B² = √16

→ B = (4 × 4)

→ B = 4

Therefore, the length of PB is 4 cm.

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