And show work you. 1. how are the angles of an equilateral triangle related? 2. how does the length of the hypotenuse in a right triangle compare to the lengths of the legs?

1.
A triangle has 3 angles. The sum of the measures of the angles in a triangle is always 180 degrees. An equilateral triangle has three angles with the same measure. Since all angles have the same measure and the sum of their measures equals 180 degrees, each angle measures 180/3 = 60 degrees.
All angles of an equilateral triangle have the same measure, and the measure is 60 degrees.

2.
The Pythagoras theorem tells us that for every right triangle, if the legs have lengths a and b, and the hypotenuse has measure c, then a^2 + b^2 = c. The square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs.

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