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{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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How many times a day does a digital clock display digits whose sum total equals the number of led's used to display them?
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.
A triangle whose sides are all congruent?
An equilateral triangle.
Find the diagonal of a square whose sides are 12?
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
What do you do in trigonometry when you are only given the opposite and adjacent sides?
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.
What is the area of a triangle whose base is 15 cm and whose height 12 cm?
The area of triangle is : 90.0
