Question6. The ratio of the area of Triangle $A$ to Triangle $B$ is $16: 49$. Triangle $A$ is similar to Triangle $B$. a. Which triangle is larger, $A$ or $B$ ? b. A side length of Triangle $B$ is 3.5 inches. What is the corresponding side length of Triangle $A$ ? c. What is the ratio of the perimeter of Triangle $A$ to the perimeter of Triangle $B$ ?

Studdy Solution
The ratio of the perimeters of similar triangles is the same as the ratio of their corresponding side lengths. Therefore, the ratio of the perimeter of Triangle $A$ to the perimeter of Triangle $B$ is:
$$\frac{4}{7}$$
The answers are: a. Triangle $B$ is larger. b. The corresponding side length of Triangle $A$ is $2$ inches. c. The ratio of the perimeter of Triangle $A$ to the perimeter of Triangle $B$ is $\frac{4}{7}$.