In given figure find the length PB.
A 5cm
3cm
P
B
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Answers
Answered by
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
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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