In the given figure; BC=15 cm and sin B= 4/5
(i) Calculate the measures of AB and AC
(ii) Now, if tan angle ADC=1, calculate the measures of CD and AD
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Answer:
In △ABC, BC=15, sinB=
5
4
Now, sinB=
H
P
5
4
=
AB
AC
Then, let AC=4x and AB=5x
Now, AB
2
=AC
2
+BC
2
(5x)
2
=(4x)
2
+15
2
25x
2
=16x
2
+225
9x
2
=225
x=5
Hence, AC=20 and AB=25
Step-by-step explanation:
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