Question

Geometry help???

15 POINTS

ΔEFG ~ ΔLMN. Find LN.
A) 2.5
B) 3
C) 3.5
D) 5

Answer 1

LN = 3.5

Explanation:

We are given a figure which has two triangles ΔEFG and ΔLMN that are similar to each other.

Given that ΔEFG and ΔLMN are similar triangles, we are to find the length of LN in ΔLMN.

For this, we can use the ratio method:

`\frac { EG } { LN } = \frac { FG } { MN }`

`\frac { 7 } { LN } = \frac { 4 } { 2 }`

`LN = \frac { 7 * 2 } { 4 }`

LN = 3.5

Answer 2

4/2 = 7/x
4x=14
X=3.5

That should help