asked 184k views
4 votes
Question 16:

(SAEP). Getúlio will surround a triangular terrain that will be used in the cotton planting. This terrain already has
about two of its sides, and it is necessary to surround the third side, as shown in the figure
below
What is the measure of the length of the side of this
land What should be surrounded?

1 Answer

2 votes

Using Pythagorean theorem, we see that for this account obey this theorem, we need this last side to be surrounded to be 600 m, letter B. We can see then by the figure above, that this terrain is a triangular form, and we can see more specifically that this is a rectangle triangle , because in the lower left song we can see an angle of 90 ° (right angle). 90º angle , we know that these are hypotenuse , and therefore the other two sides are the collars of this triangle. We have a rectangle triangle, whose measure of the hypotenuse is 'H' and the cats is 'C' and 'C', we can relate these measurements to the Pythagorean Theorem , which is given by:

h² = c² + c²

We can replace our values ​​and find out what are the last side value:

h² = c² + c²

1000² = 800² + c²

1 000 = 640 000 + c²

1 000 000 - 640 000 = c²

c² = 360 000

c = 600

and so We see that for this account this theorem, we need this last side to be surrounded to be 600 m, letter b.

answered
User Dmitry Dedov
by
8.2k points
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