Answer:
4.5
Step-by-step explanation:
∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.
Since they share the same proportions, the same operations can be performed on each base to find the area.
The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.
3*3 = 9
9/2 = 4.5
So the area is 4.5
The side lengths of the isosceles triangle are:
AO = 16 units
AB = 16 units
OB = 6 units.
<h3>What is an Isosceles Triangle?</h3>
An isosceles triangle is a type of triangles that has two sides that are congruent to each other, and two base angles that are opposite these two sides that are also congruent to each other.
<h3>How to Identify the Side lengths of the Triangle?</h3>
Referring to the isosceles triangle in the image attached below, we have the following:
One of the congruent sides = AO = 3x + 4 units
The other congruent side = AB = x + 12 units
The third side = OB = 4x - 10 units
Applying the definition of an isosceles triangle, we can create an equation as shown below to find x:
AO = AB [congruent sides]
Substitute
3x + 4 = x + 12
3x - x = - 4 + 12
2x = 8
2x/2 = 8/2
x = 4
Find the side lengths of the isosceles triangle by plugging in the value of x:
One of the congruent sides = AO = 3x + 4 = 3(4) + 4 = 16 units
The other congruent side = AB = x + 12 = 4 + 12 = 16 units
The third side = OB = 4x - 10 = 4(4) - 10 = 6 units.
Learn more about the isosceles triangle on:
brainly.com/question/11884412
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Answer:
air = 95 mph
plane = 824 MPH
Step-by-step explanation:
6(x-y) = 4374
6(x+y)= 5514
6x - 6y = 4375
6x + 6y = 5514
12x = 9889
x = 824 mph
y = 95 mph
The answers for one, two, and three are:
False
True
True