SAS similarity theorem claims that the 2 sides of one triangle room proportional to the various other sides that the another triangle one one included corresponding angles room congruent.

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Further explanation:

SAS similarity theorem says that the two sides that one triangle room proportional to the other sides the the another triangle one one had corresponding angles space congruent.

It can be better explained with an example.

Step 1:

Consider the two triangles

*
the the corresponding sides are written below.

*

Step 2:

The length of

*
is 8 units and also the size of
*
is 32 units.

Therefore, the ratio of

*
and
*
have the right to be expressed as,

*

Step 3:

The length of

*
is 15 units and the size of
*
is 60 units.

Therefore, the proportion of

*
and also
*
have the right to be to express as,

*

Step 4:

In the triangle

*
the edge
*
.and in
*
the edge
*
.

These two angles

*
and also
*
are matching congruent angles.

Step 5:

It deserve to be watched that the proportion of corresponding sides of the triangle space proportionalas,

*

Therefore, that satisfies the problem of SAS similarity theorem.

Thus,

*
are comparable by SAS theorem.

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Learn more:

thedesigningfairy.com details:

Grade: Middle school

Subject: Mathematics

Chapter: Triangle similarity.

Keywords: Triangle, similarity, sides, proportional, ratio, length, theorem, diagram, matching sides, angles, sum, fraction