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;
red line: y = x
green line: y = -x
Answer:
Step-by-step explanation:
First I took the original price of the shirt (46.50) since it is going one third off I divided it by 3 (46.50/3=15.50)
I took away the one third I divided from it (46.50-15.50=31)
I got 31 dollars as my final answer.
Now Karim needs to buy the shirt for $31.
Answer:
Step-by-step explanation:
1) Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd.
2) Collect like terms.
3) Simplify.
Therefor, the answer is, 10x^3 - 26x^2 - 12x.
Answer:
$26.31
Step-by-step explanation:
Since 3 is half of 6, 3 pairs of shoes would cost half the price.
So...
52.62/2=$26.31
