AA similarity postulate

SAS similarity postulate

SSS similarity postulate

These triangles are not similar

Dottie Parra
2021-08-05
Answered

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

AA similarity postulate

SAS similarity postulate

SSS similarity postulate

These triangles are not similar

You can still ask an expert for help

insonsipthinye

Answered 2021-08-06
Author has **83** answers

Step 1

Given two triangles are :

Step 2

$\mathrm{\u25b3}GHI$ ,

GH=42, HI=17, IG=48

$\mathrm{\u25b3}LMN$ ,

LM=21, MN=10, NL=30

Step 3

We know that if two triangles are similar then their sides are in equal ratio.

if$\mathrm{\u25b3}GHI\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}\mathrm{\u25b3}LMN$ are similar then,

$\frac{GH}{LM}=\frac{HI}{MN}=\frac{GI}{LN}$

Here,

$\frac{GH}{LM}=\frac{42}{21}=2$

$\frac{HI}{MN}=\frac{17}{10}=1.7$

$\frac{GI}{LN}=\frac{48}{30}=1.6$ ,

That means,$\frac{GH}{LM}\ne q\frac{HI}{MN}\ne q\frac{GI}{LN}$

Hence given two triangles are not similar,$\mathrm{\u25b3}GHIn\sim \mathrm{\u25b3}LMN$

Answer : These triangles are not similar.

Given two triangles are :

Step 2

GH=42, HI=17, IG=48

LM=21, MN=10, NL=30

Step 3

We know that if two triangles are similar then their sides are in equal ratio.

if

Here,

That means,

Hence given two triangles are not similar,

Answer : These triangles are not similar.

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