23. A (6, 7), B (- 2, 3), C (9, 1) શિરોબિંદુવાળા ત્રિકોણ
માટે Z Aનો દ્વિભાજક BC ને જે બિંદુમાં છેદે તે બિંદુના યામ
શોધો.
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Answer:
AD is bisector of ∠BAC
⇒ Ratio at D is c:b where
c=AB=
(3−5)
2
+(2−3)+(0−2)
2
=
4+1+4
=
9
=3
b=AC=
(3+9)
2
+(2−6)
2
+(0+3)
2
=
144+16+9
=
162
=13
for point D
x=
c+b
c(−9)+b(6)
=
3+13
3(−9)+13(5)
=
16
38
=
8
19
y=
c+b
c(6)+b(3)
=
3+13
3(6)+13(3)
=
16
57
z=
c+b
c(−3)+b(2)
=
3+13
3(−3)+13(2)
=
16
17
Hence, point D is [
8
19
,
16
57
,
6
17
]
Step-by-step explanation:
hope its help you
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