Jerold

2021-03-02

To determine: Whether the triangle ABC and GHI are similar to each other.

Given:

Triangle ABC that is 75% of its corresponding side in triangle DEF.

Triangle GHI that is 32% of its corresponding side in triangle DEF.

Given:

Triangle ABC that is 75% of its corresponding side in triangle DEF.

Triangle GHI that is 32% of its corresponding side in triangle DEF.

Theodore Schwartz

Skilled2021-03-03Added 99 answers

$\mathrm{\u25b3}ABC\sim \mathrm{\u25b3}DEF$ so,

$\frac{AB}{DE}=\frac{BC}{EF}$

$=\frac{AC}{DF}$

$\mathrm{\u25b3}GHI\sim \mathrm{\u25b3}DEF$ then,

$\frac{GH}{DE}=\frac{HI}{EF}$

$=\frac{GI}{DF}$

If a triangle's sides are similar to one another, then its angles are likewise similar to one another.

The triangles $\mathrm{\u25b3}ABC\sim \mathrm{\u25b3}GHI$ , the triangle $\mathrm{\u25b3}DEF$ by SAS similarity, is comparable in both the triangles.

As a result, according to SAS similarity, the triangles ABC and GHI are similar to one another.

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