Comment
In a 45 - 45 - 90 triangle the two smaller sides are =. So when you use
a^2 + b^2 = c^2, you need a and b both to find the area.
So call both of them = b^2.
Equation and solution
a^2 + b^2 = c^2
b^2 + b^2 = c^2
2b^2 = c^2
c = 24
b = ???
2 b^2 = 24^2
2 b^2 = 576 Divide by 2
b^2 = 288 I'm going to leave this as it is for the moment. You'll see what in a second.
Area of a triangle
Area of a triangle = 1/2 h * b
But the height and base are the 2 smaller equal sides of a 45_45_90 triangle
so h = b
base = b
Area of a triangle = 1/2 b^2 The equalities above tell you that. h and b of the triangle are equal.
Area = 1/2 288 feet^2
Area = 144 feet^2
Answer:
Hence, option D is correct (i.e. Distance is not preserved under dilation).
Step-by-step explanation:
<em>" A dilation is a transformation that produces an image that is the same shape as the original, but is a different size ".</em>
A) Angle measure:
Angle measures remains same as there is only a difference in their size the shape does not changes.
Hence angle measure is preserved.
B) Betweenness:
It is also preserved. since if any point in before dilation is between two points than after dilation it remain between them only.
C) Collinearity:
Points remain on the same line.
Hence, it is preserved.
D) Distance:
The distance is not preserved. since the length of the segment increase or decrease in dilation hence distance between two point also increase or decrease.
E) Proportionality:
In a dilation, the sides of the pre-image and the corresponding sides of the image are proportional. Hence it is also preserved.
The answer is 7, 2(7x5) + 2(4x7) + 2(5x4) = 166
Answer:
W
Step-by-step explanation:
W is the vertex, you can see the letter above the angle