If D is a point on the side BC=12cm of triangle ABC such that BD=9cm and angle ADC= angle BAC, then find the length of AC
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23
Answer:
AC= 6
Step-by-step explanation:
BC = 12 cm, BD = 9 cm
As D is a point on the side BC
BC = BD + CD
CD = 3 cm
In ΔBAC and ΔADC
∠ADC = ∠BAC (Given)
∠C = ∠C (Common angle)
∴ ΔBAC ~ ΔADC (AA similarity criteria)
The ratio of sides is also equal.
BC : AC = AC : CD
AC × AC = BC × CD
AC2 = 12 × 3 = 36
AC = 6 cm
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2
Answer:
hi da mwuthe...
good morning :)
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