Question

The smallest angle of a triangle is 25 degrees

The triangle is enlarged by scale factor 3
Ben says,
"The smallest angle of the enlarged triangle is 75° because 25 x 3 = 75"
Is Ben right?
Explain your answer.

Answer 1

Ben is incorrect; the angles of a triangle remain the same regardless of its size. The smallest angle of the enlarged triangle will also be 25 degrees.

Step-by-step explanation:

• Ben is not correct in saying that the smallest angle of the enlarged triangle is 75°.
• This is because when you enlarge a triangle by a scale factor, the lengths of the sides change, but the measures of the angles do not.
• A triangle always has three angles that add up to 180 degrees, regardless of the size of the triangle.

• When you enlarge a figure by a scale factor, you multiply the lengths of the sides of the original figure by the scale factor to get the corresponding lengths in the enlarged figure.
• The angles between those sides, however, remain the same.
• Therefore, the smallest angle of the enlarged triangle will still be 25 degrees.

Answer 2

Ben is right

Step-by-step explanation:

Given that

The smallest angle of a triangle is 25 degrees

And, there is a factor of 3

So, the enlarged triangle of the smallest angle would be

= 25 degrees × 3

= 75 degrees

As we should multiplied the both items in order to find out the same

So, Ben is right