Find the value of z in parallelogram CDEF
1 answer:
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A regular trapezoid is shown in the picture attached.
We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5
Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:
AH = (AB - DC) ÷ 2
= (7 - 5) ÷ 2
= 2 ÷ 2
= 1
Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²)
= √(5² - 1²)
= √(25 - 1)
= √24
= 2√6
Last, we have all the information needed in order to calculate the area by the formula:
A = (7 + 5) × 2√6 ÷ 2
= 12√6
The area of the regular trapezoid is 12√6 square units.
We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5
Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:
AH = (AB - DC) ÷ 2
= (7 - 5) ÷ 2
= 2 ÷ 2
= 1
Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²)
= √(5² - 1²)
= √(25 - 1)
= √24
= 2√6
Last, we have all the information needed in order to calculate the area by the formula:
A = (7 + 5) × 2√6 ÷ 2
= 12√6
The area of the regular trapezoid is 12√6 square units.
Answer:
p>-3 open circle going to the right
closed circle going to the left
n<5 open circle going to the left
closed circle going to the right
1>x open circle going to the left
-1=d just a closed circle
Step-by-step explanation:
Before I answer these here are some good notes
If the inequality sign is < or > then the circle is going to be open
If the inequality sign is then the circle is going to be closed
If the inequality sign is facing the variable (ex: x>3) then the line is going to be going to the right
If the inequality sign is facing the constant (ex: x<3) then the line is going to be going to the left
p>-3 open circle going to the right
closed circle going to the left
n<5 open circle going to the left
closed circle going to the right
1>x open circle going to the left
-1=d just a closed circle