Question 18 of 45
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Answer:
Step-by-step explanation:
The area of a triangle can be calculated with the formula:
The base of the triangle is "b" and the height of the triangle is "h",
In the figure you can observe that the base and the height of the triangle are:
Knowing these values, you can substitute them into .
Therefore, the area of the triangle is:
Answer: Area of ΔABC is 2.25x the area of ΔDEF.
Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as
with a as side of the triangle.
Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:
a₁ = 1.2a
Then, its area is
Triangle DEF is 20% smaller than the original, which means its side is:
a₂ = 0.8a
So, area is
Now, comparing areas:
2.25
<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>