Math, asked by mrunmayi275, 7 months ago

find the length of the tangent egment from a point which is at a distance of 5 cm from the centre of yhe circle of radius 3 cm​

Answers

Answered by Msaikrishna2005
0

Answer:

Correct question

find the length of the tangent from a point which is at a distance of 5 cm from the centre of the circle of radius 3 cm.

solution

radius of the circle = 3 cm

length of the segment joining centre of the circle and the external point = 5 cm

so we have to find the length of the tangent

we know that a tangent is always perpendicular to the radius at the point of contact.

so we will get a right angle triangle.

now

base = 3 cm

hypotenuse = 5 cm

height = ?

so height = √ h²-b²

= √ 5²-3²

√ 25-9

=√16

=4 cm

so the length of the tangent is 4 cm

Step-by-step explanation:

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