two altitudes of an isosceles triangle are equal to 20 cm and 30 cm. Determine the possible measures of the base angles of the triangle

Question

anonymous · Answer

sides or altitudes

anonymous · Answer

altitude.. THanks :)

anonymous · Answer

two sides are 20 and the other side is 30?

directrix · Answer

Here is what I am thinking about this problem: 

Altitudes drawn to the legs of an isosceles triangle from the vertices of the base of the isosceles triangle are congruent. So, one of the altitudes must be drawn from the vertex angle of the triangle given that the altitudes have measure 20 and 30.

anonymous · Answer

@java80 only the altitudes are given, so it is inside the triangle.

anonymous · Answer

THank you @Directrix, still can't understand it. |dw:1383460738870:dw|

directrix · Answer

@ClaP01 Note that Tri ABD ~ Tri CBE by the AA Similarity Postulate Look at this problem as discussed by @Edwin at this site: http://tinyurl.com/pbz9zmt

anonymous · Answer

@Directrix Thank you so much..

directrix · Answer

You are welcome. I read through the work of @Edwin . It appears to be correct to me.

anonymous · Answer

@Directrix same on me.. It's actually the correct answer.. Thank you very much :)...