A side is a
whereas a vertex is a
Answers
Answer:
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Step-by-step explanation:
Answer
Given vertex of ΔABC
A(−2,3)
Equation of side AB perpendiuclar to x−y−4=0 is
AB:x+y−λ=0
Side AB passes through point A(−2,3)
−2+3−λ=0
λ=1
Hence AB:x+y−1=0−−−−(1)
Equation of side AC perpendiuclar to 2x−y−5=0 is
AC:x+2y−λ=0
Side AC passes through point A(−2,3)
−2+6−λ=0
λ=4
Hence AC:x+2y−4=0−−−−(2)
The right bisectors of all sides are meeting at point P(
2
3
,
2
5
)
Right bisector from point B on side AC is perpendicular
Hence Equation of right bisector perpendicular to x+2y−4=0 is
2x−y−λ=0
Here right bisector is passing through point P
2×
2
3
−
2
5
λ=0
2
6
−
2
5
=λ
λ=
2
1
Equation of right bisector BD be
2x−y−
2
1
=0
4x−2y−1=0−−−−(3)
Here On solving equation of AB and BD we get point of intersection i.e. point B
4(1−y)−2y−1=0
4−4y−2y−1=0
−6y=−3
y=
2
1
x=1−y=1−
2
1
=
2
1
Point B(
2
1
,
2
1
)
Right bisector from point A on side BC is passing through point P
Hence equation of AD from point A and P
y−3=
2
3
+2
2
5
−3
(x+2)
y−3=
7
−1
(x+2)
Slope of AD is m
AD
=
7
−1
Hence slope of side BC perpendicular to AD is −
7
1
m
BC
=−1
m
BC
=7
Equation of side BC from point B(
2
1
,
2
1
) with slope m
BC
=7
y−
2
1
=7(x−
2
1
)
2y−1=14x−7
14x−2y−6=0
Answer:
A side is one of the flat outer surfaces of something.
A vertex is a point where two sides meet.
(Mark me as brainliest if you like my answer)
Step-by-step explanation: