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Topic: **Album homework help****Question:**
http://i267.photobucket.com/albums/ii288/emu-boo/mathproblem.png
We're learning about the pythagorean theorem, but I don't really know how to apply it to this question... Please help!

May 22, 2019 / By Abaigael

First, you know that the figure is at least a rhombus, because all four sides are the same length (x). But we can't use the Pythagorean Theorem unless we have right triangles, and we don't have right triangles unless the figure is a square. But you can't assume that it's a square just because it looks like one on the diagram (although the other answers so far appear to have done that), so here's how you know fore sure that it's a square: In any rhombus, the diagonals bisect the angles that the corners make, and since half of a corner angle is labeled as 45 degrees, that means the corner and the opposing corner are each 90 degree angles, which means that the other two corners must also be 90 degree angles. So, we have a square, and the two triangles into which the square is separated by the diagonal are both right triangles. We are given that the hypotenuse is 6 sqrt(2) in length, and that the legs are each x. So, using the Pythagorean Theorem: a^2 + b^2 = c^2 We know that a = x and b = x, and c = 6 sqrt(2). We get the following equation, and solve for x: x^2 + x^2 = (6 sqrt(2))^2 2x^2 = 36 * 2 2x^2 = 72 x^2 = 36 x = sqrt(36) x = 6 So, the length of each side of the square is 6.

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Did you like the answer? We found more questions related to the topic: **Album homework help**

4 - 7 = -3 "The difference of two positive numbers is always positive" is FALSE. Your conclusion is faulty. Your conclusion should be: the difference between to integers is an integer. Triangle ABC has no right angles.

You first conclusion is wrong. The difference between 2 positive numbers need not be positive. For example 7-9 is not positive. The conclusion is the difference between a larger positive number and a smaller positive number is always positive. Alternately the difference between a positive and a negative number is always positive. Example 7-(-9) equals 16. For your second question, te only conclusion you can come to is that the triangle ABC does not have a right angle.

Conclusion: Triangle ABC may or may not have at least one right angle but does not have three right angles.

I assume that we are solving for x, so using the pythagorean theorem, we have: x^2+x^2 = (6 root 2)^2 so, 2x^2 = 72 x^2 = 36 x = root 36 so, x = 6 hope this helps

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