In the obtuse triangle ABC, angleB = 23°, |AB| = 20 in., and |BC| = 30 in.. The length of the height from the point B is:
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Answer:
Given: ABC is obtuse triangle.
AB
2
=AD
2
+DB
2
⟶(1)
AC
2
=AD
2
+DC
2
⟶(2)
from (1) AD
2
=AB
2
−DB
2
∴AC
2
=AB
2
−DB
2
+(DB+BC)
2
[∵BC=DB+BC]
AC
2
=AB
2
−DB
2
+DB
2
+BC
2
+2BC×DB
AC
2
=AB
2
+BC
2
+2BC×DB (Proved)
Step-by-step explanation:
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