If 5 and 12 are the two smallest values in a Pythagorean triple, what is the largest value, c, in the triple?

Mathematics

2 answers:

ohaa [14]3 years ago

6 0

13 would be the largest value in the triple.

s344n2d4d5 [400]3 years ago

6 0

<h3>Answer: 13</h3>

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Work Shown:

a^2 + b^2 = c^2

c = sqrt( a^2 + b^2 )

c = sqrt( 5^2 + 12^2 )

c = sqrt( 25 + 144 )

c = sqrt( 169 )

c = 13

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Extra info (optional section)

The perimeter is 5+12+13 = 30 units and the area is base*height/2 = 5*12/2 = 60/2 = 30 square units. In this triangle type, the area and perimeter are the same value (different units though of course). This concept and particular triangle is discussed in the video titled "Superhero triangles" from Numberphile (timestamp around 1:23 of the video).

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Serena uses chalk to draw a straight line on the sidewalk. The line is 12 ft long. She wants to divide the line into sections th

ElenaW [278]

<h3><u>Question:</u></h3>

Serena uses chalk to draw a straight line on the sidewalk. The line is 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long. How many sections will the line be divided into?

<h3><u>Answer:</u></h3>

The number of sections that the line is divided is 4

<h3><u>Solution:</u></h3>

Given that, Serena uses chalk to draw a straight line on the sidewalk

The line is 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long

From given,

$Total\ length\ of\ line = \frac{1}{2} \text{ feet }\\\\Length\ of\ each\ section = \frac{1}{8} \text{ feet }$

To find: Number of sections can be made

The number of sections that can be made is found by dividing the total length of line by length of each section

$\text{Number of sections } = \frac{\text{Total length of line}}{\text{length of each section}}$

Substituting the values, we get,

$\text{Number of sections } = \frac{\frac{1}{2}}{\frac{1}{8}}\\\\\text{Number of sections } = \frac{1}{2} \times \frac{8}{1}\\\\\text{Number of sections } = 4$