Question

In the given triangle, calculate O if ZB = 90°
AB= 20 cm and AC = 40 cm.
(ICSE)​

Answer 1

Answer:

The value of θ is 30°.

Step-by-step explanation:

Given information: In triangle ABC, b = 90° AB = 20 cm and AC = 40 cm.

We need to find the value of θ.

Hypotenuse = AC = 40 cm

Opposite side = AB = 20 cm

In a triangle angle triangle,

\sin \theta = \dfrac{Opposite}{Hypotenuse}sinθ=

Hypotenuse

Opposite

\sin \theta = \dfrac{20}{40}sinθ=

40

20

\sin \theta = \dfrac{1}{2}sinθ=

2

1

\sin \theta = \sin (30^{\circ})sinθ=sin(30

∘

)

On comparing both sides we get

\theta =30^{\circ}θ=30

∘

Therefore, the value of θ is 30°.

#Learn more

If triangle ABC if Angle B = 90° ab = 6 cm and angle C = 60° then AC =.