Question

the corresponding faces of the 2 triangular prisms shown are similar. the edge lengths given are in centimeters. what is the length, in centimeters, of the edge represented by l?
11.0
4.0
5.0
3.5
1.5
l
a 1.2
b 1.5
c 2.0
d 2.5
e 3.3

Explanation:

Step1: Set up the proportion

Since the prisms are similar, the ratios of corresponding edges are equal. We can set up the proportion \(\frac{5.0}{1.5}=\frac{4.0}{L}\).

Step2: Cross - multiply

Cross - multiplying gives \(5.0\times L = 1.5\times4.0\). So \(5L=6\).

Step3: Solve for \(L\)

Dividing both sides by \(5\), we get \(L=\frac{6}{5}=1.2\).

Answer:

A. 1.2