(English Medium) ICSE Class 9 - CISCE Question Bank Solutions for Mathematics

In the given figure, ∠QPR = 50° and ∠PQR = 60°. Show that : PN < RN

In the given figure, ∠QPR = 50° and ∠PQR = 60°. Show that: SN < SR

In ΔABC, BC produced to D, such that, AC = CD; ∠BAD = 125° and ∠ACD = 105°. Show that BC > CD.

In ΔPQR, PS ⊥ QR ; prove that: PQ > QS and PQ > PS

In ΔPQR, PS ⊥ QR ; prove that: PQ > QS and PR > PS

In ΔPQR, PS ⊥ QR ; prove that: PQ + PR > QR and PQ + QR >2PS.

In the given figure, T is a point on the side PR of an equilateral triangle PQR. Show that PT < QT

In the given figure, T is a point on the side PR of an equilateral triangle PQR. Show that RT < QT

In ΔPQR is a triangle and S is any point in its interior. Prove that SQ + SR < PQ + PR.

Prove that in an isosceles triangle any of its equal sides is greater than the straight line joining the vertex to any point on the base of the triangle.

ΔABC in a isosceles triangle with AB = AC. D is a point on BC produced. ED intersects AB at E and AC at F. Prove that AF > AE.

In ΔABC, AE is the bisector of ∠BAC. D is a point on AC such that AB = AD. Prove that BE = DE and ∠ABD > ∠C.

In ΔABC, D is a point in the interior of the triangle. Prove that DB + DC < AB + AC.

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°