Answer:
26 sq in.
Step-by-step explanation:
Let x = measure of one acute angle
3x - 2 = measure of other acute angle
Since the triangle is a right triangle, the sum of the measures of the acute angles is 90
x + 3x - 2 = 90
4x - 2 = 90
4x = 92
x = 23
90 - 23 = 67
The acute angles are 23° and 67°
Now, let a = length of side opposite the 23° angle
sin 23 = a/12
a = 12 sin 23
Let b = length of the side opposite the 67° angle
sin 67 = b/12
b = 12 sin 67
Area = 1/2ab = 1/2(12 sin 23°)(12 sin 67°)
= 25.90
26 sq in to the nearest inch
Wow! That is quite the problem.
Answer:
Step-by-step explanation:
the formula for the area of a triangle is base*height divided by 2
5x + 3x = 64
8x = 64
x = 8
If we then insert that...
5(8) = 40 fl oz strawberry
3(8) = 24 fl oz water
