what is (2-3)+432 (+(4- 4))+44=
Answers
Step-by-step explanation:
\boxed{\rm{\orange{Given \longrightarrow }}}
Given⟶
⇢Points are P(4,3), Q(-5-1), T(2,-2)
\boxed{\rm{\red{To\:Find\longrightarrow }}}
ToFind⟶
⇢whether the given points form a triangle
\boxed{\rm{\pink{solution \longrightarrow }}}
solution⟶
⇢First we find the lengths PQ,QT,PTPQ,QT,PT
PQ=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}PQ=
(x
1
−x
2
)
2
+(y
1
−y
2
)
2
PQ=\sqrt{(4+5)^2+(3+1)^2}PQ=
(4+5)
2
+(3+1)
2
PQ=\sqrt{9^2+4^2}PQ=
9
2
+4
2
PQ=\sqrt{81+16}PQ=
81+16
\bf\,PQ=\sqrt{97}PQ=
97
QT=\sqrt{(-5-2)^2+(-1+2)^2}QT=
(−5−2)
2
+(−1+2)
2
QT=\sqrt{(-7)^2+1^2}QT=
(−7)
2
+1
2
QT=\sqrt{49+1}QT=
49+1
\bf\,QT=\sqrt{50}QT=
50
PT=\sqrt{(4-2)^2+(3+2)^2}PT=
(4−2)
2
+(3+2)
2
PT=\sqrt{2^2+5^2}PT=
2
2
+5
2
PT=\sqrt{4+25}PT=
4+25
\bf\,PT=\sqrt{29}PT=
29
\implies\bf\,PQ{\neq}QT{\neq}PT⟹PQ
=QT
=PT
∴The given points P,Q and T form a scalene triangle
\boxed{\textbf{Option (c) is corrct}}
Option (c) is corrct