In triangle ABC shown below, side AB is 8 and side AC is 6:
2 answers:
Answer: The correct option is
(D) Segment AD is 4, and segment AE is 3.
Step-by-step explanation: In the given figure, we are shown a triangle ABC with side AB measures 8 units and AC measures 6 units.
We are to select the statement that is needed to prove that segment DE is half the length of segment BC.
<u><em>Midpoint Theorem :</em></u>
The line joining the mid points of any two sides of a triangle is parallel to the third side and is half of the third side.
In triangle ABC, applying the midpoint theorem,
for DE to be half of BC, D must be the midpoint of AB and E must be the midpoint of AC.
If so, then
Thus, for DE to be half of BC, segment AD is 4 and segment AE is 3.
Option (D) is CORRECT.
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Answer:
y = x - 5
Step-by-step explanation:
Equation of any two parallel lines differ only by a constant.
Therefore, the equation of the line parallel to would be ax + by + c₂ = 0.
The equation of the line parallel to should be equal to
x - y + c = 0.
Since, a point intersecting the line is given this means that the line passes through this point. This can be used to determine the value of c.
⇒ 3 -(-2) + c = -5 + c = 0
⇒ c = - 5.
Substituting we get: x - y - 5 = 0
⇒ y = x - 5 is the required equation of the line.
We have:
4 triangles with the base b = 5ft and the height h = 6ft
4 rectangles with the lenght l = 5ft and the width w = 4ft
1 square with side a = 5ft.
The formula of an area of a riangle:
Substitute:
The formula of an area of a rectangle:
Substitute:
The formula of an area of a square:
Substitute:
The Surface Area of composite solid:
Substitute: