which is the answer for this question guys? can you explain me guys hope you are really great guys I am waiting guys?
Attachments:
Answers
Answered by
0
Answer:
Search for questions & chapters
Class 10
>>Maths
>>Coordinate Geometry
>>Distance Formula
>>Show that (3,2), (2, - 3 )...
Question
Bookmark
Show that (3,2),(2,−3),(0,0) are the vertices of a right angled triangle using distance formula.
Medium
Solution
verified
Verified by Toppr
Let A(x
1
,y
1
)=(3,2),B(x
2
,y
2
)=(2,−3) and C(x
3
,y
3
)=(0,0)
∴ Distance between two points =
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
AB=
(2−3)
2
+(−3−2)
2
=
1+25
=
26
units
BC=
(0−2)
2
+(0+3)
2
=
4+9
=
13
units
CA=
(0−3)
2
+(0−2)
2
=
9+4
=
13
units
(
13
)
2
+(
13
)
2
=(
26
)
2
∴BC
2
+CA
2
=AB
2
Hence the given points form a right-angled triangle.
Similar questions