In the adjoining diagram, BD = 6 units, CD = 8 units, AC = 12.5 units, angle ABC = 90° and angle BDC = 90°. Calculate:
(a) sin x
(b) tan y
(c) cos x - sin y.
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Answered by
1
Answer:
Correct option is
A
12
△ ABC is a right-angled triangle.
By Pythagoras theorem,
AC
2
=BC
2
+AB
2
⇒13
2
=5
2
+AB
2
⇒AB
2
=−(5)
2
+13
2
⇒AB
2
=−25+169
⇒AB
2
=144
⇒AB=
144
⇒AB=12 cm.
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