*An isosceles trapezoid ABCD has bases AD = 17cm, BC = 5cm, and leg AB = 10 cm. A line is drawn through vertex B so that it bise
cts diagonal
AC
and intersect
AD
at point M. Find the area of ΔBDM. What is the area of ABCD?
AC
and intersect
AD
at point M. Find the area of ΔBDM. What is the area of ABCD?
2 answers:
The diagram is attached below
The midpoint of AC is E. The ΔMAE is congruent to ΔBCE, and the sides MA = BC = 5 cm. Also MD = 17 -5 = 12 cm
From the figure we can see that the height of the trapezoid is 8cm
The height of trapezoid is the difference between the x axis and the BC that is 8cm
The triangle BDM has base 12 cm and height 8 cm.
Area of triangle =
A = = 48 cm²
2. The area of trapezoid ABCD formula is
A =
base 1= 17cm , base2= 5cm , height = 8cm
A =
A = 88 cm²
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Answer:
b²(2x+1)(x+2)
Explanation:
The given equation is:
2b²x² + 5xb² + 2b²
We can start by taking b² as a common factor, this will give us:
b² (2x² + 5x + 2)
Now, we have a trinomial quadratic equation that we need to factorize.
The general form of the quadratic equation is:
ax² + bx + c
The one we have is:
2x² + 5x + 2
By comparison:
a = 2
b = 5
c = 2
To get the factors, we will need to use the quadratic equation attached in the images.
By substitution, we would find that:
either x = -1/2.......> This means that the factor is (2x+1)
or x = -2........> This means that the factor is (x+2)
Now, back to our expression, we will replace the quadratic trinomial with its factored form to get the simplified expression:
b²(2x+1)(x+2)
Hope this helps :)
b²(2x+1)(x+2)
Explanation:
The given equation is:
2b²x² + 5xb² + 2b²
We can start by taking b² as a common factor, this will give us:
b² (2x² + 5x + 2)
Now, we have a trinomial quadratic equation that we need to factorize.
The general form of the quadratic equation is:
ax² + bx + c
The one we have is:
2x² + 5x + 2
By comparison:
a = 2
b = 5
c = 2
To get the factors, we will need to use the quadratic equation attached in the images.
By substitution, we would find that:
either x = -1/2.......> This means that the factor is (2x+1)
or x = -2........> This means that the factor is (x+2)
Now, back to our expression, we will replace the quadratic trinomial with its factored form to get the simplified expression:
b²(2x+1)(x+2)
Hope this helps :)