1) Find whether these can be the measures of three angles of a triangle
15,75,90
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All that remains to know the length ratios for the sides of the 15-75-90 triangle is to determine the length of EC, its hypotenuse, via the Pythagorean Theorem. The square of length EC must equal the square of 1 plus the square of (2 – √3), so EC, squared, equals 1 + 4 – 4√3 + 3, or 8 – 4√3.
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Answer:
15 +75+90=180
because sum of all angle of atriangle is 180
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