The area of a square is:
A=s^2, solve this for s
s=√A
The "diagonal" is the hypotenuse of a right triangle with legs of length s.
By the Pythagorean Theorem:
d=√(s^2+s^2)
d=√(2s^2), and since we found that s=√A earlier:
d=√(2A), and since we are told that A=128m^2
d=√256
d=16m
Answer:
4.62 cm to nearest hundredth.
Step-by-step explanation:
If the parallel sides are x and y then:
x + y = 2*8 = 16
x + y = 16
If we drop a perpendicular line from one of the upper points on the trapezoid we have the height. Let the upper point be C and the point on the base be A. Let the point on right of the base be B.
AC is the height of the trapezoid. AB is the baseline of the triangle CAB.
In triangle CAB the angle B is 30 degrees.
As this is a 30-60-90 degree triangle
AC/AB = 1/√3 so AC = AB/ √3.
As the trapezoid is isosceles:
AB = x + 0.5(y - x)
AB = 0.5x + 0.5y
So AC = 1 /√3 (0.5x + 0.5y)
= 1 /√3 (0.5x + 0.5(16 - x)) (Substituting for x)
= 1 /√3 (0.5x + 8 - 0.5x)
=8 / √3
. = 4.6188 cm
Answer:
The answer is 5.55
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Edge
Answer:
52
Step-by-step explanation: