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Makovka662 [10]
3 years ago
6

The mathematical fact: a(b+c) = ab + ac ______________________________

Mathematics
1 answer:
Greeley [361]3 years ago
3 0

Answer:

Distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac.

Step-by-step explanation:

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Step-by-step explanation: The triangle ABC and its altitude \overline{BD} is represented in the figure below.

<u>Altitude</u> is a segment of line that link a vertex and the opposite side, forming a right angle.

So, because of \overline{BD}, now we have two similar triangles, which means that ratios of corresponding sides are equal:

\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}

\overline{BD}^{2}=\overline{BC}.\overline{AD} (1)

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Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.

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