Question

The cecum ladius of an equacilat
Brom the
eral triangle is 4 cm
triangle Measure
le side​

Answer 1

Step-by-step explanation:

Given △ABC is a equilateral triangle inscribed in a circle.

Since, △ABC is a equilateral triangle,

∠C=60

Using the property, Angle subtended by same arc to centre of circle is twice the angle subtended by same arc to any point on the circle.

∴∠AOB=2×∠C=2×60=120

Drawing perpendicular line from centre O to AB.

Using the property, A perpendicular line joining centre and chord bisects the chord and angle at centre.

∴AD=BD=x∠AOD=∠BOD=60

In △AOD,

∠OAD+∠AOD+∠ODA=180                     (Angle sum property of a triangle)

or,90+60+∠OAD=180or,∠OAD=180−90−60=30

Now, In △AOD,

cos30=4xor,23=4x,or,x=243=23or,AD=BD=23or,AB=2×23=43

Side of equilateral triangle =43

∴ m=

Answer 2

Answer:

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Step-by-step explanation:

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