In the given figure, if AB=14cm,then the value of tan B is:a)4/3 b)14/3 c)5/3 d)13/3
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10th
Maths
Triangles
Pythagoras Theorem and its Converse
In above figure, if PS = 14...
MATHS
In above figure, if PS=14 cm, then the value of tana is equal to :
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From the figure in the question,
As PQRT is a parallelogram
QR=PT=5cm
Given, PS=14cm
PS=PT+TS
⇒14=5+TS
∴TS=9cm
From △PQR; By Pythogoras Theorem
PQ
2
=PR
2
=QR
2
PQ=
13
2
−5
2
=12cm
⇒PQ=TR=12cm [opposite of parallelogram are equal]
∴ from △STR
tana=
9
12
=
3
4
Step-by-step explanation:
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