The square floor of a tent has an area of 49sq. feet. What is the length of the side of the tent?
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Add 4 to both sides to isolate the variable (-4+4=0) (2x+0=2x) (0+4=4) which leaves you with 2x=4 divide both sides by 2 to get rid of the number in front of the variable to get x by itself (2x/2=x) (4/2=2) therefore you’re left with x=2 (lo siento yo no hablo español la respuesta es x=2)
First of all, we have to observe this triangles separated by the height. These small and big triangles are similar according to the Angle-Angle-Angle principle.
a. We can find all of these length using the cosine of the angle, Pythagoras theorem and the principle of the similarity of triangles.
b. According to the cosine of the angle we can write that, cosθ = 12/a = 5/13 and from here a = 31.2. After finding that using Pythagoras theorem, we can write that . According to the similarity of the triangles, we can write that 31.2/d = 28.8/12 and d = 13. Applying Pythagoras theorem we find that c = 5.
c. We already gave the answer for this question in part b