RBSE Solutions for Class 9 Maths Chapter 8 Construction of Triangles Ex 8.3 is part of RBSE Solutions for Class 9 Maths. Here we have given Rajasthan Board RBSE Class 9 Maths Solutions Chapter 8 Construction of Triangles Ex 8.3.

Board |
RBSE |

Class |
Class 9 |

Subject |
Maths |

Chapter |
Chapter 8 |

Chapter Name |
Construction of Triangles |

Exercise |
Ex 8.3 |

Number of Questions Solved |
3 |

Category |
RBSE Solutions |

## Rajasthan Board RBSE Class 9 Maths Solutions Chapter 8 Construction of Triangles Ex 8.3

**Case III: To construct a triangle when a side and two angles are given.**

Question 1.

Construct a triangle PQR when QR = 8 cm, ∠Q = 120° and ∠R = 30°

Solution.

Steps of construction:

- Draw line segment QR = 8 cm.

- With Q as centre, draw an angle of 120°.
- Again with centre, draw an angle of 30° which intersects (RBSESolutions.com)the arms of angle 120° at P.

Hence, ∆PQR is the required triangle.

Question 2.

Construct a triangle ABC when b = 7 cm, ∠A = 90° and ∠C = 60°.

Solution.

Steps of construction:

- Draw line segment b = 7 cm as base.

- Take A as centre, draw an angle of 90° by ruler and compass.
- Take C as centre and draw an angle of 60° by (RBSESolutions.com)ruler and compass which will meet the angle line at B.
- Join B to C.

Hence, ∆ABC is the right-angled triangle.

Question 3.

Construct an isosceles triangle whose base is of length 4 cm and the vertex angle is equal to 30°. Draw a perpendicular from the vertex to the base.

Solution.

∵ Vertex angle = 30°

Steps of construction:

- Draw a line segment BC = 4 cm as base.
- With B as centre, draw an angle of 75°.
- With C as centre, also draw (RBSESolutions.com)an angle of 75° which intersects at A.
- Draw a perpendicular from the vertex A to the base BC.

Hence, ∆ABC is the required isosceles triangle whose base is 4 cm and vertex angle = 30°.

We hope the given RBSE Solutions for Class 9 Maths Chapter 8 Construction of Triangles Ex 8.3 will help you. If you have any query regarding RBSE Rajasthan Board Solutions for Class 9 Maths Chapter 8 Construction of Triangles Ex 8.3, drop a comment below and we will get back to you at the earliest.