Mathematics: Explain, with a test, why the two triangles in each figure are similar. Find the unknown lengths.

Explain, with a test, why the two triangles in each

Ответ:

mmoreno8041

28.01.2022

Mathematics

x = 3, y = 6

Step-by-step explanation:

In the figure attached,

If ΔADE and ΔABC are similar triangles, their corresponding sides will be in the same ratio.

By this property,

$\frac{AB}{AD}=\frac{AC}{AE}=\frac{BC}{DE}$

$\frac{AB}{AD}=\frac{AC}{AE}$

$\frac{AD+BD}{AD}=\frac{AE+EC}{AE}$

$\frac{3}{2}=\frac{x+1.5}{x}$

3x = 2x + 3

3x - 2x = 3

x = 3

Similarly, $\frac{AB}{AD}=\frac{BC}{DE}$

$\frac{3}{2}=\frac{y}{4}$

y = $\frac{3\times 4}{2}$

y = 6

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Ответ:

debk

16.03.2021

Mathematics

Step-by-step explanation: Well it ain't D. I took the test and got it wrong. I am gonna say it's c but if you find other evidence that it's not c go with that. I'm not sure but it's better luck than d.

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Explain, with a test, why the two triangles in each figure are similar. Find the unknown lengths.

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