184k views
3 votes
The sides of a triangle measure 2, 3, and 4. If the smallest side of a similar triangle measures 8, then the measure of the largest side is

1 Answer

3 votes

The length of the sides of the smaller triangles is 2, 2, and4.

The smallest length of the smaller triangle is: 2

The length of the largest side of the given small triangle is: 4

The smallest length of the big triangle is: 8

The small triangle and the large triangle are similar triangles. The ratio of corresponding sides of similar triangles is equal.


\begin{gathered} \frac{Small\text{ side of small triangle}}{\text{Small side of big triangle}}=\frac{Large\text{ side of small triangle}}{\text{Largest side of big triangle}} \\ (2)/(8)=\frac{4}{\text{Largest side of big triangle}} \\ \text{Largest side of big triangle}=4*(8)/(2) \\ =16 \end{gathered}

Thus, the length of the largest side of the big triangle is 16.

User Hugo Demiglio
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.