The scale factor of the two triangles is [tex]\frac{3}{4}[/tex].
What is scale factor of the two triangles?
When two triangles are similar, the reduced ratio of any corresponding sides is called the scale factor of the similar triangles.
What is similar triangle?
Similar triangles are triangles that have the same shape, but their sizes may vary.
According to the given question
We have two triangles NGK and ALH
In which
NG = 15, GK = 6, NK = 3
And, AL = 20, LH = 8 and AH = 4
Since, we have to find the scale factor of these two triangles so the two triangles must be similar.
As, ΔNGK is similar to ΔALH
⇒ [tex]\frac{NG}{AL} = \frac{GK}{LH} = \frac{NK}{AH}[/tex]
⇒ [tex]\frac{15}{20} = \frac{6}{8} =\frac{3}{4}[/tex]
⇒ [tex]\frac{3}{4} = \frac{3}{4} =\frac{3}{4}[/tex]
Hence, the scale factor of the two triangles is [tex]\frac{3}{4}[/tex].
Learn more about scale factor here:
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