# Help with Triangle problems please!

Q1. ABC is a triangle with Angle B > 2 Angle C D is a point on BC such that AD bisects Angle BAC and AB=CD. Prove that Angle BAC=$$72^{\circ}$$

Q2. AD, BE and CF are medians of a triangle ABC. Prove that 2(AD+BE+CF)<3(AB+BC+CA)<4(AD+BE+CF)

Q3. In Triangle ABC, AD is the bisector of Angle BAC Prove that AB>BD.

Note by Mehul Arora
3 years, 4 months ago

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Sort by:

- 3 years, 4 months ago

For the 1st problem.

- 3 years, 4 months ago

If you draw the diagram for the 3rd question you get

$$\angle ADB = \angle \dfrac{A}{2} + \angle C$$

whereas $$\angle BAD = \angle \dfrac{A}{2}$$

since $$\angle ADB > \angle BAD\Rightarrow AB>BD$$

- 3 years, 4 months ago

@Anik Mandal Thanks! ^_^ I was not really able to figure it out. It was an easy problem though. Thanks so much :)

- 3 years, 4 months ago

Welcome bro. Did you get the first two?

- 3 years, 4 months ago

Nah, Not really :/ :/

- 3 years, 4 months ago

Not that poor in geometry.. xD

- 3 years, 4 months ago

Haha, I know xD

Neither am I. Idk why I was unable to figure this out :/

- 3 years, 4 months ago