Question

The wooden treehouse has horizontal siding that is parallel to the base. What are the LM and MN to the nearest hundredth?

Refer to the image below

Answer 1

Answer:

LM = 2.83 ft

MN = 2.39 ft

Step-by-step explanation:

Given: The wooden tree house has horizontal siding that is parallel to the base

So, LD // ME // NF

As shown, GN and Gk are transversal line segments

So, $\frac{LG}{GH}=\frac{LM}{HJ} = \frac{MN}{JK}$

From the figure:

LG = 11.3 ft , GH = 10.4 ft , HJ = 2.6 ft and JK = 2.2 ft

Using the first and second ratios

LM = LG * HJ/GH = 11.3 * 2.6/10.4 = 2.83 ft (to the nearest hundredth)

Using the first and third ratios

MN = LG * JK/GH = 11.3 * 2.2/10.4 = 2.39 ft (to the nearest hundredth)