Question

If triangle DEF is congruent to triangle LMN and the scale factor is 0.25, find the dimensions of LMN.

Answer 1

LM=2 ft, LN=2 ft and MN=1.5 ft.

Step-by-step explanation:

In Triangle DEF, the lengths of the sides are as follows:

• DE=8 ft

,

• DF = 8ft

,

• EF = 6 ft

The scale factor =0.25

Therefore, we have that:

`\begin{gathered} LM=DE*0.25 \\ =8*(1)/(4) \\ LM=2ft \end{gathered}`

Similarly:

`\begin{gathered} MN=EF*0.25 \\ =6*(1)/(4)=(3)/(2) \\ MN=1.5ft \end{gathered}`

The dimensions of triangle LMN are:

LM=2 ft, LN=2 ft and MN=1.5 ft.