show that the points (8,4),(5,7) and (-1,1) are the vertices of an equilateral right angled triangle
Answers
Answered by
1
Answer:
not possible it can't be equilateral as well as right angled
Answered by
0
Answer:
One way of proving that it is an isosceles triangle is by calculating the length of each side since two sides of equal lengths means that it is an isosceles triangle.
Length of
(
13
,
−
2
)
&
(
9
,
−
8
)
=
√
(
13
−
9
)
2
+
(
−
2
+
8
)
2
=
√
16
+
36
=
√
52
=
2
√
13
units
Length of
(
9
,
−
8
)
&
(
5
,
−
2
)
=
√
(
9
−
5
)
2
+
(
−
8
+
2
)
2
=
√
16
+
36
=
√
52
=
2
√
13
units
Length of
(
13
,
−
2
)
&
(
5
,
−
2
)
=
√
(
13
−
5
)
2
+
(
−
2
+
2
)
2
=
√
64
=
8
units
From the above calculations, you'll notice that length of
(
13
,
−
2
)
&
(
9
,
−
8
)
and length of
(
9
,
−
8
)
&
(
5
,
−
2
)
are the same. therefore, you can prove that the triangle is isoscele
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