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No - if the lengths of the sides are all increased by a factor of 3, the angles remain unchanged. You just wind up with a "similar" triangle 3 times the size of the original.
A quick counterexample would be to consider what would happen if the angles DID change. The sum of the angles in the original triangle should be 180°. If the angles in the new, larger triangle tripled in size, the sum of the angles in the bigger triangle would be 540° - but the sum of the angles of a triangle should always remain 180°.
What else can I help you with?
How do you find a scale factor from the smaller figure to the enlarged figure?
Look for corresponding parts of the two figures. Their ratio is the scale factor. For example, if you have two similar triangles, one has a side of length 3, and the corresponding side on the other triangle is 5, then the scale factor is 5/3 going from the small triangle to the big, or 3/5 going from the big triangle to the small.
When the diameter of a circle is tripled what happens to the area of the cirlcle?
Area is proportional to the square of the linear dimensions.If diameter is tripled, area increases by a factor of (3)2 = 9 .
How do you use the scale factor of a triangle to enlarge it?
The way you use a scale factor to enlarge a triangle is to multiply each side of the triangle by that scale factor. Your triangle will then be that many times larger.
What is an example of a scale factor?
If a big triangle has a base length of 6, and a small triangle has a corresponding base length of 3, the scale factor from large to small is 2/1 (or 2). The scale factor from small to large would be 1/2.
When the sides of a polygon are tripled in length the perimeter increases by a factor of and the area increases by a factor of?
Perimeter is proportional to the linear dimensions, so it increases by 3x .Area is proportional to (linear dimensions)2, so it increases by 9x .
What happens if a circle's radius is tripled?
If the radius is tripled then the Area will be greater by a factor of 9. And the circumference will be greater by a factor of 3.
What triangle is always similar?
An equilaterial triangle is always similar, because the corresponding angles are conqruent, it has the same basic shape, and it has a scale factor.
What is 9 enlarged by a factor of a number?
9 enlarged by a factor of a number is 9*y
When Dilating a triangle changes the angles and side length of the triangle.?
Actually, when dilating a triangle, the angles remain unchanged while the side lengths are proportionally increased or decreased based on the scale factor of the dilation. Dilation is a transformation that enlarges or reduces a shape while maintaining its overall proportions. Therefore, the triangle's shape is preserved, but its size changes according to the dilation factor.
How do you find a scale factor from the smaller figure to the enlarged figure?
Look for corresponding parts of the two figures. Their ratio is the scale factor. For example, if you have two similar triangles, one has a side of length 3, and the corresponding side on the other triangle is 5, then the scale factor is 5/3 going from the small triangle to the big, or 3/5 going from the big triangle to the small.
The multiplying factor when a shape is enlarged?
When a shape is enlarged the multiplying factor is greater than 1. Example : A factor of 7 means that a length of 1cm on the original shape would be represented by a length of 7cm on the enlarged shape.
What happens when you dilate a triangle with a scale factor of 2?
When you dilate a triangle with a scale factor of 2, each vertex of the triangle moves away from the center of dilation, doubling the distance from that point. As a result, the new triangle retains the same shape and angles as the original triangle but has sides that are twice as long. This means the area of the dilated triangle becomes four times larger than the original triangle's area.
When the diameter of a circle is tripled what happens to the area of the cirlcle?
Area is proportional to the square of the linear dimensions.If diameter is tripled, area increases by a factor of (3)2 = 9 .
If the speed is tripled the kinetic energy will .?
If the speed is tripled, the kinetic energy will increase by a factor of 9. This relationship is based on the equation for kinetic energy, which is proportional to the square of the velocity.
What are the measures of a triangle that is similar with side triangle that are proportional to this triangle by a factor of 5?
If two triangles are similar, their corresponding side lengths are in proportion by a constant factor. In this case, if the sides of the original triangle are represented as ( a ), ( b ), and ( c ), then the sides of the similar triangle would be ( 5a ), ( 5b ), and ( 5c ). Therefore, the measures of the angles in both triangles remain the same, while the side lengths of the similar triangle are five times larger than those of the original triangle.
What does scale factor mean in math?
In math, a scale factor is a number that describes how much a figure is enlarged or reduced in size when creating a similar figure. It is the ratio of the lengths of corresponding sides of two similar geometric figures. A scale factor greater than 1 indicates an enlargement, while a scale factor less than 1 indicates a reduction. For example, if a scale factor of 2 is applied to a triangle, each side of the triangle will be doubled in length.
What is result of kinetic energy if speed is tripled?
If the speed is tripled, the kinetic energy will increase by a factor of 9 (3 squared) since kinetic energy is proportional to the square of the speed.
