Class 9 Solution of Right Triangles Mock Test (ICSE)

Topics in Solution of Right Triangles

• Finding unknown sides of a right triangle
• Finding unknown angles
• Problems using standard angles

Solution of Right Triangles practice questions with answers

1. Q1Multiple choice·1 mark
   The value of $\frac{\sin 30^\circ + \tan 45^\circ}{\cos 60^\circ}$ is:

   1. (a)$3$
   2. (b)$4$
   3. (c)$2$
   4. (d)$1$
   Show answer and step marks

   1. Correct option: (a) $3$. Substituting standard values, $\frac{1/2 + 1}{1/2} = \frac{3/2}{1/2} = 3$.+1

   Answer: (a)
2. Q2Multiple choice·1 mark
   If $2 \sin \theta = \sqrt{3}$, where $\theta$ is an acute angle, then the value of $\theta$ is:

   1. (a)$30^\circ$
   2. (b)$90^\circ$
   3. (c)$60^\circ$
   4. (d)$45^\circ$
   Show answer and step marks

   1. Correct option: (c) $60^\circ$. Dividing by $2$ gives $\sin \theta = \frac{\sqrt{3}}{2}$, which implies $\theta = 60^\circ$.+1

   Answer: (c)

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