#### Chapters

## Chapter 4: Constructions of Triangles

#### Practice Set 4.1 [Page 53]

### Balbharati solutions for Maharashtra state board SSC 9th Standard Maths 2 Geometry Chapter 4 Constructions of Triangles Practice Set 4.1 [Page 53]

Construct Δ PQR, in which QR = 4.2cm m∠ Q = 40 ° and PQ + PR = 8.5cm

Construct Δ XYZ, in which YZ = 6 cm, XY + XZ = 9 cm.

∠ XYZ = 50°

Construct Δ ABC, in which BC = 6.2 cm, ∠ ACB= 50° , AB + AC = 9.8 cm

Construct Δ ABC, in which BC =5.2 cm, ∠ ACB = 45 ° and perimeter of Δ ABC is 10 cm.

#### Practice Set 4.2 [Page 54]

### Balbharati solutions for Maharashtra state board SSC 9th Standard Maths 2 Geometry Chapter 4 Constructions of Triangles Practice Set 4.2 [Page 54]

Construct Δ XYZ, such that YZ = 7.4 cm, ∠XYZ = 45° and XY - XZ = 2.7 cm.

Construct Δ PQR, such that QR = 7.4 cm, ∠PQR= 60 ° and PQ - PR = 2.5 cm.

Construct Δ ABC, such that BC = 6 cm, ∠ABC = 100° and AC - AB = 2.5cm.

#### Practice Set 4.3 [Page 56]

### Balbharati solutions for Maharashtra state board SSC 9th Standard Maths 2 Geometry Chapter 4 Constructions of Triangles Practice Set 4.3 [Page 56]

Construct Δ PQR, in which ∠Q = 70°, ∠R = 80° and PQ + QR + PR = 9.5 cm.

Construct Δ XYZ, in which ∠Y = 58°, ∠X = 46° and perimeter of triangle is 10.5 cm.

Construct Δ LMN, in which ∠M = 60°, ∠N = 80° and LM + MN + NL = 11 cm.

#### Problem Set 4 [Page 56]

### Balbharati solutions for Maharashtra state board SSC 9th Standard Maths 2 Geometry Chapter 4 Constructions of Triangles Problem Set 4 [Page 56]

Construct Δ XYZ, such that XY + YZ =10.3 cm, YZ = 4.9 cm, ∠XYZ = 45° .

Construct Δ ABC, in which ∠B = 70°, ∠C = 60° , AB + BC + AC = 11.2 cm.

The perimeter of a triangle is 14.4 cm and the ratio of lengths of its side is 2 : 3 : 4. Construct the triangle.

Construct Δ PQR, in which PQ - PR = 2.4 cm, QR = 6.4 cm and ∠PQR = 55° .

## Chapter 4: Constructions of Triangles

## Balbharati solutions for Maharashtra state board SSC 9th Standard Maths 2 Geometry chapter 4 - Constructions of Triangles

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Concepts covered in Maharashtra state board SSC 9th Standard Maths 2 Geometry chapter 4 Constructions of Triangles are Perpendicular bisector Theorem, Construction of Triangles.

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