the hypothesis of right triangle is 17 m long. If one of the remaining side one is 8 cm. find the length of the third side?
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Answered by
1
Answer:
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Step-by-step explanation:
Using the Pythagorean theorem we know that any right triangle with sides a, b and c the hypotenuse:
a
2
+
b
2
=
c
2
c
=
17
a
=
x
b
=
x
+
7
a
2
+
b
2
=
c
2
x
2
+
(
x
+
7
)
2
=
17
2
x
2
+
x
2
+
14
x
+
49
=
289
2
x
2
+
14
x
=
240
x
2
+
7
x
−
120
=
0
(
x
+
15
)
(
x
−
8
)
=
0
x
=
−
15
x
=
8
obviously the length of a side cannot be negative so the unknown sides are:
8
and
8
+
7
=
15
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Answered by
3
Answer:
The length of the third side is 15cm
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