the x-coordinate of the incentre of the triangle ABC whose vertices are A(-1, 12), B(-1, 0), C(4, 0) is
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the x-coordinate of the incentre of the triangle ABC whose vertices are A(-1, 12), B(-1, 0), C(4, 0) is
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Answer:
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Verified answer
Answer:
Given A(7, -36) B(7,20) C(-8,0)
a = BC =
(−8−7)
2
+(0−20)
2
=
400+625
=25
b = CA =
(−8−7)
2
+(0+36)
2
=39
c = AB =
(7−7)
2
+((20+36)
2
)
=56
a = 25, b = 39, c = 56
In center =(
x+b
ax
1
+bx
2
+cx
3
),(
a+b+c
ay
1
+by
2
+cy
3
)
=(
25+39+56
25×7+36×7+56×8
),(
25+39+56
25×−36+39×20+56×0
)
=(
120
0
,
120
−120
)=(0,−1)
∴ In center is (0,-1)
Step-by-step explanation:
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