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? Please help!!!!
a)39 m2
b)169 m2
c)117 m2
d)142 m2
if the sides grow by a factor of 3, the area grows by a factor of 3^2 = 9
9*13 = 117
Thank you!!! :)
To find the area of the new triangle after increasing the dimensions by a scale factor of 3, we need to know the relationship between the areas of similar figures. In this case, since the dimensions of the triangle are being increased by a scale factor of 3, the area of the new triangle will be 3^2 = 9 times the area of the original triangle.
Given that the area of the original triangle is 13 m^2, multiplying it by 9 will give us the area of the new triangle.
Area of new triangle = 13 m^2 * 9
= 117 m^2
Therefore, the area of the new triangle is 117 m^2, which is option c)