Question

triangle e is a scaled copy of triangle d. what is the value of f? 1.6 1.8 2.7 triangle d triangle e

Explanation:

Step1: Find the scale - factor

Since triangle E is a scaled copy of triangle D, the ratio of corresponding sides is the same. Let the scale - factor be $k$. We can find $k$ by comparing the known corresponding sides. The known corresponding sides are $1.8$ in triangle D and $2.7$ in triangle E. So, $k=\frac{2.7}{1.8}=\frac{3}{2}=1.5$.

Step2: Calculate the value of $f$

The side of length $1.6$ in triangle D corresponds to side $f$ in triangle E. Using the scale - factor $k = 1.5$, we have $f=1.6\times k$. Substitute $k = 1.5$ into the equation: $f=1.6\times1.5 = 2.4$.

Answer:

$2.4$