## Triangle problem – finding height with given area and angles.

If the area of triangle ABC is and angles and then find a altitude of triangle which drawn from C to AB.

**HINT:** Read more…

## Triangle problem – find an angle

## Triangle – Area problem

In triangle * ABC*, cevians

**,**

*AD***and**

*BE***intersect at point**

*CF***. The areas of triangles**

*P***,**

*PAF***,**

*PFB***and**

*PBD***are**

*PCE***,**

*40***,**

*30***and**

*35***, respectively. Find the area of triangle**

*84***.**

*ABC***TIPS:** Read more…

## Triangle Problem

Let triangle ABC be isosceles with AB = AC. The altitude from A is AE and cevian BF intersects AE at D. If AF : AC = 1 : 3 Then find AD : DE and BD : BF.

Just draw cevian CG that intersects AE at D, too . (G is on line AB) Connect F & G. Line FG is parallel to BC. Use similarity of triangles to solve the questions.

**ANSWERS ARE** Read more…

## Triangle problem

Let triangle ABC be acute and let H be its orthocenter. The altitudes . Prove that

It is easy question. Use areas to solve it.

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## Triangle – Circle problem

Given triangle ABC. . CD is height of triangle ( point D is on hypotenuse AB ). The radiuses of incircles of triangles ACD and ABD are . Find the radius of incircle of triangle ABC .

**Solution : Read more…**

## An Intriguing Geometry Problem – Triangle problem

Let ABC be an isosceles triangle (AB=AC) with BAC = 20°. Point D is on side AC such that DBC = 60°. Point E is on side AB such that ECB = 50°. Find, with proof, the measure of EDB.

For more about this question go to Berkeley Math Circle. You can read history of this question and about solutions. Picture is taken from thinkzone.wlonk.com .

**SOLUTION :** Read more…