# Frank solutions for Class 9 Maths ICSE chapter 14 - Constructions of Triangles [Latest edition]

## Chapter 14: Constructions of Triangles

Exercise 14.1
Exercise 14.1

### Frank solutions for Class 9 Maths ICSE Chapter 14 Constructions of Triangles Exercise 14.1

Exercise 14.1 | Q 1.1

Construct a triangle using the given data: AB = 6.5cm, BC = 8.4cm and AC = 7.2cm

Exercise 14.1 | Q 1.2

Construct a triangle using the given data: PQ = 4.8cm, QR = 6.3cm and PR = 5.5cm

Exercise 14.1 | Q 1.3

Construct a triangle using the given data: DE = 6.5cm, EF = 5.8cm and DF = 4.2cm

Exercise 14.1 | Q 2.1

Construct a triangle using the given data: BC = 6cm, AC = 5.0cm and ∠C = 60°

Exercise 14.1 | Q 2.2

Construct a triangle using the given data: XY = 5.2cm, XZ = 6.5cm and ∠X = 75°

Exercise 14.1 | Q 2.3

Construct a triangle using the given data: PQ = 6.2cm, QR = 9.0cm and ∠Q = 30°

Exercise 14.1 | Q 3.1

Construct a triangle using the given data: BC = 6.0cm, ∠B = 60° and ∠C = 45°

Exercise 14.1 | Q 3.2

Construct a triangle using the given data: PQ = 6.2cm, ∠P = 105° and ∠ = 45°

Exercise 14.1 | Q 3.3

Construct a triangle using the given data: DE = 5cm, ∠D = 75° and ∠E = 60°

Exercise 14.1 | Q 4.1

Construct a right-angled triangle in which: Side AB = 4.5 cm and hypotenuse AC = 7 cm

Exercise 14.1 | Q 4.2

Construct a right-angled triangle in which Side DE = 6 cm and ∠E = 30°, ∠D = 90°

Exercise 14.1 | Q 4.3

Construct a right-angled triangle in which: QP = QR and hypotenuse PR = 7 cm

Exercise 14.1 | Q 5.1

Construct an isosceles triangle in which: AB = AC, BC = 6 cm and ∠B = 75°

Exercise 14.1 | Q 5.2

Construct an isosceles triangle in which: XY = XZ, YZ = 5.5 cm and ∠X = 60°

Exercise 14.1 | Q 5.3

Construct an isosceles triangle in which: PQ = QR, PR = 4.5 cm and ∠R = 60°

Exercise 14.1 | Q 6.1

Construct an isosceles triangle in which: Base BC = 6.4 cm and side AB = 7.2 cm

Exercise 14.1 | Q 6.2

Construct an isosceles triangle in which: Base QR = 5.2 cm and the altitude PM = 4.8 cm

Exercise 14.1 | Q 6.3

Construct an isosceles triangle in which: Base DE = 6 cm and ∠F = 45°

Exercise 14.1 | Q 7.1

Construct an isosceles triangle using the given data: Altitude RM = 5cm and vertex ∠R = 120°

Exercise 14.1 | Q 7.2

Construct an isosceles triangle using the given data: Altitude AD = 4cm and vertex ∠A = 90°

Exercise 14.1 | Q 7.3

Construct an isosceles triangle using the given data: Altitude XT = 6.8cm and vertex ∠X = 30°

Exercise 14.1 | Q 8

Construct an isosceles right-angled triangle whose hypotenuse is of length 6 cm.

Exercise 14.1 | Q 9.1

Construct an equilateral triangle using the given data: Altitude AD = 5 cm

Exercise 14.1 | Q 9.2

Construct an equilateral triangle using the given data: Altitude PM = 3.6 cm

Exercise 14.1 | Q 9.3

Construct an equilateral triangle using the given data: Altitude OM = 5.8 cm

Exercise 14.1 | Q 10.1

Construct a triangle using the following data: XY + YZ = 5.6 cm, XZ = 4.5 cm and ∠X = 45°

Exercise 14.1 | Q 10.2

Construct a triangle using the following data: PQ + PR = 10.6 cm, QR = 4.8 cm and ∠R = 45°

Exercise 14.1 | Q 10.3

Construct a triangle using the following data: DE + EF = 10.3 cm, EF = 6.4 cm and ∠E = 75°

Exercise 14.1 | Q 11.1

Construct a triangle using the given data: PQ - PR = 1.5 cm, QR = 6.0 and ∠Q = 45°

Exercise 14.1 | Q 11.2

Construct a triangle using the given data: AB - AC = 1.2 cm, BC = 6.0 cm and ∠B = 60°

Exercise 14.1 | Q 11.3

Construct a triangle using the given data: XY - XZ = 1.5 cm, YZ = 3.4 cm and ∠X = 45°

Exercise 14.1 | Q 12.1

Construct a triangle using the given data: Perimeter of triangle is 6.4 cm, and the base angles are 60° and 45°

Exercise 14.1 | Q 12.2

Construct a triangle using the given data: Perimeter of triangle is 9 cm, and the base angles are 60° and 45°

Exercise 14.1 | Q 12.3

Construct a triangle using the given data: Perimeter of triangle is 10.6 cm, and the base angles are 60° and 45°

Exercise 14.1 | Q 13

Construct a ΔXYZ with YZ = 7.5 cm, ∠Y = 60° and ∠Z = 45°. Draw the bisectors of ∠Y and ∠Z. If these bisectors meet at O, measure angle YOZ.

Exercise 14.1 | Q 14

Construct a triangle PQR with PQ = 5.4 cm, QR = 4.6 cm and ∠Q = 60°. Draw the perpendicular PS at QR, measure the lengths of SP and SQ,

Exercise 14.1 | Q 15

Construct a ΔRST with side ST = 5.4 cm, RST = 60° and the perpendicular from R on ST = 3.0 cm.

Exercise 14.1 | Q 16

Construct a ΔPQR with ∠Q = 60°, ∠R = 45° and the perpendicular from P to QR be 3.5 cm. Measure PQ.

Exercise 14.1 | Q 17

Construct a ΔABC, right-angled at B with a perimeter of 10 cm and one acute angle of 60°.

Exercise 14.1

## Frank solutions for Class 9 Maths ICSE chapter 14 - Constructions of Triangles

Frank solutions for Class 9 Maths ICSE chapter 14 (Constructions of Triangles) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE Class 9 Maths ICSE solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 9 Maths ICSE chapter 14 Constructions of Triangles are Construction of Triangles, Construct Isosceles Triangle.

Using Frank Class 9 solutions Constructions of Triangles exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Frank Solutions are important questions that can be asked in the final exam. Maximum students of CISCE Class 9 prefer Frank Textbook Solutions to score more in exam.

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