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:
S= 4
Step-by-step explanation:
add 9 to -5
= 4
s=4
Answer:
300 square feet
Step-by-step explanation:
Area is found by multiplying the length and width of a surface
Consumer Price Index or also most commonly known as CPI is calculated through the equation,
CPI = (price at a certain year / price at base year) x 100
Since, we have chosen 2014 as the base year, the denominator of the fraction will be $86. Calculating the CPI for 2015,
CPI = ($90/$86) x 100
= <em>104.65</em>
Answer:
Step-by-step explanation:
