53 130
Assignments Done
97,7%
Successfully Done
In October 2017
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Analytic Geometry Question for Jessica

Question #7208
How do you prove that "The altitude to the base of an isosceles triangle is also a median"?
Expert's answer
Let ABC be an isosceles triangle with base AC, so AB=BC.
Let also BD be the
altitude.
We should prove that BD is also a median, so AD=DC.

Consider
triangles ABD and CBD.
Then we have the following:

1) Since ABC is
isosceles, we have that angle A = angle C.

2) The angles BDA and BDC are
right and so they are equal

3) It follows from 1) and 2) that the third
angles ABD and CBD are equal as well.

3) AB=CB

5) the side BD is
common for both triangles.

Thus due to 3), 4) and 5) thriangles ABD and
CBD are equal, since they have two equal sides and equal angles
between
them.
In particular, AD=CD, and so BD is median.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question