quely
1. Do the points (-5, -3), (2,4) and (0,-1) form a triangle?
If so, name the type of triangle formed.
Answers
Answered by
1
Answer:
iscocless
Step-by-step explanation:
The point
Q
lies on the
x
-axis.
So, its co-ordinate will be of the form
(
x
,
0
)
Let's take the points as
Q
(
x
,
y
)
=
(
x
,
0
)
which is equidistant from
A
(
5
,
2
)
and
B
(
4
,
2
)
To find the distance, we use distance formula
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
⟹
A
Q
=
√
(
x
−
x
1
)
2
+
(
y
−
y
1
)
2
=
√
(
x
−
5
)
2
+
(
0
−
2
)
2
and
B
Q
=
√
(
x
−
x
2
)
2
+
(
y
−
y
2
)
2
=
√
(
x
−
4
)
2
+
(
0
−
2
)
2
But
A
Q
=
B
Q
∴
√
(
x
−
5
)
2
+
(
0
−
2
)
2
=
√
(
x
−
4
)
2
+
(
0
−
2
)
2
⟹
x
=
9
2
=
4.5
∴
The co-ordinates of
Q
is
(
4.5
,
0
)
∵
A
Q
=
B
Q
and
Q
lies on the perpendicular bisector of
A
B
Therefore, the
Δ
A
B
Q
is an isosceles triangle.
Answered by
1
Step-by-step explanation:
isosceles triangle will formed
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