A right triangle has an area of 13 m2. The dimensions of the triangle are increased by a scale factor of 3. What is the area of the new triangle? Can someone plz help i don't understand this question.

177

can you please tell us how you got your answer rage?

100 + 77

A magician never reveals his secrets

@rage you came back from 2012 just to say that 💀

Of course! I can help you understand this question.

A right triangle is a triangle that has one angle measuring 90 degrees (a right angle). In this question, we are given that the area of the right triangle is 13 m². The area of a triangle is typically calculated using the formula A = 1/2 * base * height, where A represents the area, and base and height are the dimensions of the triangle.

Now, the dimensions of the triangle are increased by a scale factor of 3. This means that each dimension (base and height) is multiplied by 3. Therefore, the new dimensions of the triangle are 3 times bigger than the original dimensions.

To find the area of the new triangle, we can use the same formula: A = 1/2 * base * height. Since the dimensions have increased by a scale factor of 3, the new base and height will be 3 times larger than their original values. Therefore, the new area can be calculated using the formula:

New Area = 1/2 * (3 * base) * (3 * height)

Simplifying this equation, we get:

New Area = 1/2 * 9 * base * height

New Area = 4.5 * base * height

So, to find the area of the new triangle, we need to multiply the original area (13 m²) by 4.5.

New Area = 13 m² * 4.5

New Area = 58.5 m²

Therefore, the area of the new triangle, after increasing the dimensions by a scale factor of 3, is 58.5 m².