Answer:
1/2
Step-by-step explanation:
First, <u>calculate the area of the triangle drawn</u>. The area of a triangle is calculated using the formula A = bh/2
"A" means area.
"b" means base.
"h" means height.
<u>Count the number of squares for each of the "straight" sides</u>, (not the longest diagonal side, which is called the hypotenuse.) It does not matter which one is called the height and which is called the base.
The two sides are 6 square units and 3 squares units. Use the measurements in the formula. "u" is for units.
A = bh/2
A = (6u)(3u)/2 Multiply 6u and 3u
A = (18u²)/2 Divide by 2
A = 9u² Area of the triangle depicted.
The scale factor, represented by the variable "k", tells you how much a shape shrunk or grew. If "k" is greater than 1, the shape grew. If "k" is greater than 0 and less than 1, the shape shrunk.
In this case, since the drawing is smaller than the actual triangle, the scale factor will be a fraction less than 1 and greater than 0.
<u>The scale factor is used for side length.</u> When it's used to find a side length, we use "k" multiplied by a side. <u>Since the information we know is area, we find k² first, then isolate "k".</u>
Divide the depicted triangle area by the actual area.
k² = 9u² ÷ 36u²
k² = 1/4
√k² = √(1/4)
k = 1/2 Scale
Therefore, the scale of the drawing is half.
