Which statement is true about the data set?
1 answer:
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Answer:
The area of triangle M is 1.44 times the area of triangle M.
Step-by-step explanation:
From Geometry we remember that the area formula of the triangle is:
(1)
Where:
- Base of the triangle, dimensionless.
- Height of the triangle, dimensionless.
- Area of the triangle, dimensionless.
The dillation of the triangle by a scale factor means that:
(2)
(3)
(4)
Where:
- Dilated base of the triangle, dimensionless.
- Dilated height of the triangle, dimensionless.
- Dilated area of the triangle, dimensionless.
- Dilation factor, dimensionless.
If we know that , then the area formula for the dilated triangle is:
Therefore, the area of triangle M is 1.44 times the area of triangle M.