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

LM = 2.83 ft

MN = 2.39 ft

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,
`(LG)/(GH)=(LM)/(HJ) = (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)