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Triangles

If the bisector of an angle of a triangle also bisects the opposite side, prove that the triangle is isosceles

05/11/2024

Mathematics

9th

Triangles

Prove that if in two triangles two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the two triangles are congruent

05/11/2024

Mathematics

9th

Triangles

Bisectors of the angles B and C of an isosceles triangle ABC with AB = AC intersect each other at O. Show that external angle adjacent to ∠ABC is equal to ∠BOC.

05/11/2024

Mathematics

9th

Triangles

Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O.
BO is produced to a point M. Prove that ∠MOC =∠ABC.

05/11/2024

Mathematics

9th

Triangles

D is any point on side AC of a ∆ ABC with AB = AC. Show that CD < BD.

05/11/2024

Mathematics

9th

Triangles

S is any point on side QR of a ∆ PQR. Show that: PQ + QR + RP > 2 PS.

05/11/2024

Mathematics

9th

Triangles

Q is a point on the side SR of a ∆ PSR such that PQ = PR. Prove that PS > PQ.

05/11/2024

Mathematics

9th

Triangles

ABC is an isosceles triangle with AB = AC and BD and CE are its two medians. Show that BD = CE.

05/11/2024

Mathematics

9th

Triangles

Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm? Give reason for your answer.

05/11/2024

Mathematics

9th

Triangles

Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.

05/11/2024

Mathematics

9th