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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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.

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,

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

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

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