{1, 2}, {7, 8} and {10, 11}.
The triangular numbers are 1, 3, 6, 10, 15, 21, 28, ...
The sum of two adjacent numbers is odd, so adjacent numbers that sum to 1, 3, 15, 21 are the solution.
1 is impossible, leaving 3, 15 & 21 as possible sums, giving the adjacent numbers {1, 2}, {7, 8} & {10, 11}
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A 24 hour clock displays digits whose sum total equals the number of led's used to display them 94 times a day. A 12 hour clock displays them 108 times a day.
An equilateral triangle.
Use Pythagoras on the triangle formed by two adjacent sides and the diagonal between their other ends: diagonal = √(122 + 122) = 12 x √2 ~= 16.97 units
That depends what you're asked for. If you're asked for the tangent of the angle, divide (opposite)/(adjacent) . If you're asked for the hypotenuse of the triangle, it's sqrt( opposite2 + adjacent2 ) . If you're asked for the cosine of the angle, it's (adjacent)/(hypotenuse) . If you're asked for the other acute angle, it's the angle whose tangent is (adjacent)/(opposite) . If you're not asked for anything, then get your jacket, chew some gum, and go home.
The area of triangle is : 90.0