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2 years ago

Which choice is equivalent to the product below?

Mathematics

1 answer:

Brums [2.3K]2 years ago

5 0

Answer: Choice A. $4\sqrt{7}$

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Work Shown:

$\sqrt{14}*\sqrt{8}\\\\\sqrt{(14)*(8)}\\\\\sqrt{(7*2)*(2*4)}\\\\\sqrt{7*(2*2)*4}\\\\\sqrt{7*4*4}\\\\\sqrt{4*4*7}\\\\\sqrt{4}*\sqrt{4}*\sqrt{7}\\\\2*2*\sqrt{7}\\\\4\sqrt{7}\\\\$

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Copy the problems onto your paper, mark the given and prove the statements asked. Given: marked Prove: ΔABC ≅ ΔDBC, ΔEHF ≅ ΔGHF

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The proof is given below. Please go through it.

Step-by-step explanation:

To solve Δ ABC ≅ Δ DBC

From Δ ABC and Δ DBC

AB = BD (given)

AC = CD (given)

BC is common side

By SSS condition Δ ABC ≅ Δ DBC ( proved)

To solve Δ EHF ≅ Δ GHF

Δ EHF and Δ GHF

EH = HG ( given)

∠ EFH = ∠ GFH ( each angle is 90°)

HF is common side

By RHS condition

Δ EHF ≅ Δ GHF

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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