Question

In a right angled traingle , length of hypotenuse is 8 cm and it's perpendicular is 3 cm . find sin​ theta

Answer 1

Explanation:

sin theta = perpendicular/hypotenuse

=> sin theta = 3/8

Answer 2

Given :

In a right angled triangle,

• Length of Hypotenuse = 8 cm
• Perpendicular = 3 cm

To Find :

• We have to find the value of $\rm \: sin \: \theta$

Solution :

As we know that,

• $\boxed{ \tt{sin \: \theta = \dfrac{Perpendicular}{Hypotenuse} }}$

Substituting values,

$\dashrightarrow \: \: \sf \: sin \: \theta = \dfrac{Perpendicular}{Hypotenuse}$

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$\dashrightarrow \: \: \underline{ \boxed{\sf \: sin \: \theta = \dfrac{3}{8} \:}} \: \bigstar$

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$\underline{ \sf{ \therefore \: sin \: \theta \: \: is \: \: \bf\dfrac{3}{8}}}$

Know more!

• $\boxed{ \rm{cos \: \theta = \dfrac{Base}{Hypotenuse} }}$

• $\boxed{ \rm{sin \: \theta = \dfrac{Perpendicular}{Hypotenuse} }}$

• $\boxed{ \rm{cot \: \theta = \dfrac{Base}{Perpendicular} }}$

• $\boxed{ \rm{tan \: \theta = \dfrac{Perpendicular}{Base} }}$