Find the slope of the line that passes through (9, 8) and (4, 6).
2 answers:
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Answer:
Yes, It is a right triangle for the given vertices.
Step-by-step explanation:
Given:
Q(7, –10),
R(–3, 0),
S(9, –8)
To Find:
determine whether is a rig ht triangle for the given vertices = ?
Solution:
QR=
QR=
QR=
QR=--------------------------(1)
QR=14.142136
RS=
RS=
RS=
RS=---------------------------(2)
RS=14.422205
QS=
QS=
QS=
QS=-------------------------------------(3)
QS=2.828427
According to Pythagorean Theorem,
Substituting the values,
208 = 208
Pythagorean theorem is satisfied. Hence it is a right triangle.
