3 years ago

Find the missing sides of the triangle. Leave your answers in simplest radical form. Please help!

1 answer:

3 0

Hello I think X is 9 and Y is 8

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Ganezh [65]

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Hello! Your answer would be below!

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Graph B)

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bija089 [108]

Answer: AC= 10 cm and CE= 5 cm

Step-by-step explanation:

In the given picture, Δ ADE is a right triangle

∴ By Pythagoras theorem,

$AD^2+DE^2=AE^2\\\Rightarrow\ (8+4)^2+9^2=AE^2\\\Rightarrow\ AE^2=12^2+9^2\\\Rightarrow\ AE^2=144+81=225\\\Rightarrow\ AE=15\ cm$

Since triangles ABC and ADE are similar and corresponding sides of similar triangles are proportional therefore,

$\frac{AB}{AC}=\frac{AD}{AE}\\\Rightarrow\frac{8}{AC}=\frac{12}{15}\\\Rightarrow\ AC=\frac{8\times15}{12}\\\Rightarrow\ AC=10\ cm$

Now, AE=AC+CE

⇒CE=AE-AC

⇒CE=15-10=5 cm

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3 years ago

Temka [501]

Answer:

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2 years ago