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Answer:
we see
d1=d3
Step-by-step explanation:
An isosceles triangle is one with two equal lengths.
To find the lengths of the sides with coordinates
(x1,y1),(x2,y2)
we use Pythagoras' theorem
d
=
√
(
x
2
−
x
2
)
2
+
(
y
2
−
y
1
)
2
from the information given
d
1
=
√
(
13
−
9
)
2
+
(
−
2
−
−
8
)
2
d
1
=
√
4
2
+
6
2
=
√
52
−
−
(
1
)
d
2
=
√
(
13
−
5
)
2
+
(
−
2
−
−
2
)
2
d
2
=
√
8
2
+
0
2
=
√
64
=
8
−
−
(
2
)
d
3
=
√
(
9
−
5
)
2
+
(
−
8
−
−
2
)
2
d
3
=
√
4
2
+
6
2
=
√
52
−
−
−
(
3
)