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Dottie Parra

Answered question

2021-08-05

Determine (if possible) the similarity postulate that proves the following two triangles are similar:

AA similarity postulate
SAS similarity postulate
SSS similarity postulate
These triangles are not similar

insonsipthinye

Skilled2021-08-06Added 83 answers

Step 1
Given two triangles are :

Step 2

△ G H I

,
GH=42, HI=17, IG=48

△ L M N

,
LM=21, MN=10, NL=30
Step 3
We know that if two triangles are similar then their sides are in equal ratio.
if

△ G H I and △ L M N

are similar then,

\frac{G H}{L M} = \frac{H I}{M N} = \frac{G I}{L N}

Here,

\frac{G H}{L M} = \frac{42}{21} = 2

\frac{H I}{M N} = \frac{17}{10} = 1.7

\frac{G I}{L N} = \frac{48}{30} = 1.6

,
That means,

\frac{G H}{L M} \neq q \frac{H I}{M N} \neq q \frac{G I}{L N}

Hence given two triangles are not similar,

△ G H I n \sim △ L M N

Answer : These triangles are not similar.

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