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Tomtit [17]
3 years ago
6

3) Round answer to the nearest hundredth. *

Mathematics
1 answer:
DochEvi [55]3 years ago
5 0

Answer:

80 mm

Step-by-step explanation:

Pythagorean theorm can be applied here to solve for the length of the last leg, a^{2} + b^{2} = c^{2}, where (a) and (b) are the legs of the triangle and (c) is the hypotenuse. We can rearrange the pythagorean theorm for our purposes like the following:

b = √c^2 - √a^2

  = √(82)^2 - √(18)^2

  = √6724 - √324

  = √6400

  = 80 mm

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If a(5,3),b(0,0) and c(-3,5) are the vertices of a triangle then the value of AB.BC is
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The <em>dot</em> product associated to sides AB and BC is 0.

<h3>What is the dot product generated by two sides of a triangle?</h3>

In this question we must find the <em>dot</em> product of two vectors associated with two surrounding sides of a triangle. First, we need to find the vectors associated to sides AB and BC:

Side BA

<u>BA</u> = (5, 3) - (0, 0)

<u>BA</u> = (5, 3)

Side BC

<u>BC</u> = (- 3, 5) - (0, 0)

<u>BC</u> = (- 3, 5)

By definition of <em>dot</em> product, the result associated to the two sides of the triangle is:

<u>BA</u> • <u>BC</u> = (5, 3) • (- 3, 5)

<u>BA</u> • <u>BC</u> = (5) · (- 3) + (3) · (5)

<u>BA</u> • <u>BC</u> = - 15 + 15

<u>BA</u> • <u>BC</u> = 0

The <em>dot</em> product associated to sides AB and BC is 0.

<h3>Remark</h3>

The statement is poorly formatted, the correct form is shown below:

If A(x, y) = (5, 3), B(x, y) = (0, 0) and C(x, y) = (- 3, 5) are the vertices of a triangle then the value of the dot product between vectors AB and BC is:

To learn more on dot product: brainly.com/question/14455586

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