In triangle ABC, AB = AC = 17 cm and BC = 16 cm. If AD is one altitude of the triangle , then AD = __.
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1
Answer:
Correct option is
B
15
The figure is as shown in the attached image.
sinB=
AB
10
=
BC
12
⇒BC=1.2AB=1.2AC
sin
2
A
=
AB
BD
=
AB
2
BC
=
AB
0.6AB
=0.6
⇒cos
2
A
=0.8andtan
2
A
=
0.8
0.6
=
4
3
⇒
AD
BD
=
4
3
⇒BD=10×
4
3
=7.5
BC=2×BD=15
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