A perpendicular bisector cuts a line segment directly in half. a property of perpendicular bisectors is that any point on the line of the bisector will be equidistant (the same distance from) both end points.
Ex, If point X was 5 ft away from one endpoint, it would be 5 feet away from the other as well.
Pi is an irrational number meaning it has no end, 3.14 is just an estimate which means that it is not accurate.
Answer:
An equilateral triangle
Step-by-step explanation:
Because an equilateral has a feature that all sides have the same length and all angles are of the same, it does not matter from which side and peak the centroid, circumcenter, incenter and orthocenter is created, they would always end up at the same point.
Answer:
We have to prove
sin(α+β)-sin(α-β)=2 cos α sin β
We will take the left hand side to prove it equal to right hand side
So,
=sin(α+β)-sin(α-β) Eqn 1
We will use the following identities:
sin(α+β)=sin α cos β+cos α sin β
and
sin(α-β)=sin α cos β-cos α sin β
Putting the identities in eqn 1
=sin(α+β)-sin(α-β)
=[ sin α cos β+cos α sin β ]-[sin α cos β-cos α sin β ]
=sin α cos β+cos α sin β- sinα cos β+cos α sin β
sinα cosβ will be cancelled.
=cos α sin β+ cos α sin β
=2 cos α sin β
Hence,
sin(α+β)-sin(α-β)=2 cos α sin β
approx 1 foot
The area (A) of a circle = πr² ( where r is the radius)
thus r² = A/π ⇒ r = √(A/π = √(3.21/π) =1.0108..... ≈ 1 foot ( to 1 dec. place)
