Answer:
See below.
Step-by-step explanation:
By definition the median of the triangle bisects the base of the isosceles triangle.
We need to prove that the 2 triangles formed by the median are congruent.
If the 2 triangles are ABD and ACD where BD is the median and < ABC is the angle from which BD is drawn.
BD = BD ( the common side)
AD = DC ( because BD is the median).
AB = AC ( because ABC is an isosceles triangle).
So Triangles ABD and ACD are congruent by SSS.
Therefore m < ABD = m < CBD, so BD is the bisector of < ABC.
To prove BD is also the altitude:
Triangles ABD and CBD are congruent as we have just proven. Therefore the
of measure of the base angle ABD = m < CBD . Also they are adjacent angles ( on the same line) so they add up to 180.
Therefore angles ABD and CBD are both right angles and BD is the altitude of triangle ABC.
Answer:
eight eggs were used
Step-by-step explanation:
simplify 4/6 to 2/3 which 2/3 of twelve is eight
The answers to the questions on how she would use the colored chips are given here:
- writing a new article 6 yellow chips
- designing a computer presentation 10 red chips
<h3>How to solve for the values</h3>
For the first percentage
20 / 100 = x/20
= 20 * 20 = 100x
400 = 100x
divide through by 100
x = 400/100
x = 4
For the second percentage
30/100 = x/20
600 = 100x
x = 600/100
x = 6
For the last
50/100 = x/20
1000 = 100x
x = 10
The proof is that 6 + 4 + 10 still gives us 20
Read more on percentages here: brainly.com/question/24877689
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