For each problem below put the lettered measures in order for greatest to the least
1 answer:
Angles can be used to estimate the side lengths of a shape.
The letters in order of greatest to least are (a), (b) and (c)
The sum of angles at side (a) is:
The sum of angles at side (c) is:
The sum of angles at side (b) is:
So, we have:
The smaller the base angles, the longer the side.
Hence, the letters in order of greatest to least are (a), (b) and (c)
Read more about angles at:
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For the square with side length n, the diagonal measures:
The sidelength of the square is n, and we want to get the length of the diagonal d.
Notice that the diagonal is the hypotenuse of a right triangle whose catheti measure n.
Then we can use the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the cathetus;
That is the length of the diagonal.
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