Question

in triangle ABC, if AC=2cm, AB=2√2cm , BC=2cm, then angle c is equal to
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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

AB=2cm and BC=1cm

Using Pythagoras theorem in ΔCAB, we have

AC

2

=AB

2

+BC

2

⇒AC

2

=2

2

+1=5

⇒AC=

5

Thus, Base=BC=1cm, Perpendicular =AB=2cm

and, Hypotenuse =AC=

5

cm

sinθ=

AC

AB

=

5

2

, and tan θ=

BC

AB

=

1

2

=2

Now, sin

2

θ+tan

2

θ=(sinθ)

2

+(tanθ)

2

=(

5

2

)

2

+(2)

2

=

5

4

+4=

5

24

solution