0.92085175 radians
Let's first calculate the length of the diagonal of the base. Using the Pythagorean theorem:
b = sqrt(9^2 + 7^2) = sqrt(81 + 49) = sqrt(130) = 11.40175425
Now the length of the diagonal to the box. Once again, using the Pythagorean theorem:
d = sqrt(15^2 + 11.40175425^2) = sqrt(225 + 130) = sqrt(335) = 18.84144368
We now have a right triangle where we know the lengths of all three sides. The lengths are:
a = 15
b = sqrt(130) ≠11.40175425
c = sqrt(335) ≠18.84144368
we want the angle opposite to side a. So
tan(A) = 15/11.40175425 = 1.315587029
A = atan(1.315587029)
A = 0.92085175 radians
Answer:
All represent the three sides of the triangle.
Step-by-step explanation:
The question seeks to test your knowledge of the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation of any 2 sides of a triangle must be greater than the measure of the third side.
Note: This rule must be satisfied for all 3 conditions of the sides.
The answer is all can represent the three sides of the triangle.
Options (6 cm, 22 cm, 10 cm), (7 cm, 25 cm, 11 cm), (9 cm, 22 cm, 11 cm) and (10 cm, 14 cm, 23 cm) satisfies the Triangle Inequality Theorem and all represent the three sides of the triangle.
Positive because it does not go less than 0.
The denominator must be equal to all other denominations
