The total weight is 157.5 pounds. 11.25 x 12 is 135. 135 plus 22.5 is 157.5
The integers are x, x + 2 and x + 4
x + x + 2 + x + 4 = 126
3x + 6 = 126
3x = 126 - 6 = 120
x = 120/3 = 40
The least consecutive integer is 40
The second consecutive integer is 42
The greatest consecutive integer is 44.
Therefore, the numbers are 40, 42 and 44
As we can see from the angles given, one is 90 degrees, the triangle should be a right triangle. We are given the two angles and one side which would represent the hypotenuse or the longest side. The area of a triangle is calculated from one half the product of its base and its height. From the given values, we need to calculate for the height and base. We do as follows:
sin 75 = height / √3
height = 1.67
cos 75 = base / √3
base = 0.45
Area = bh/2
Area = (0.45) (1.67) / 2
Area = 0.37 square units
Therefore, the area of the triangle is about 0.37 square units.
