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steposvetlana [31]
3 years ago
13

The two triangles above are similar.

Mathematics
1 answer:
kondaur [170]3 years ago
4 0

Answer:

Part a) x=15\ cm

Part b) x=15\ cm

Part c) The answers are the same because the triangles are similar, therefore the  ratio of their corresponding sides are equal

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of their corresponding sides are equal  and is called the scale factor

Part a) Find x using the ratio of the sides 12 cm and 16 cm

so

\frac{12}{16}=\frac{x}{20}

\frac{3}{4}=\frac{x}{20}

The ratio of their corresponding sides is called the scale factor and in this problem is equal to \frac{3}{4}

solve for x

x=20*3/4\\x=15\ cm

Part b) Find x using the ratio of the sides 6 cm and 8 cm

so

\frac{6}{8}=\frac{x}{20}

\frac{3}{4}=\frac{x}{20}

Observe that the scale factor is equal to \frac{3}{4}

solve for x

x=20*3/4\\x=15\ cm

Part c) The answers are the same because the triangles are similar, therefore the  ratio of their corresponding sides are equal

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