Answer:
Step-by-step explanation:
Given
Square
Triangle
Required
Find h, if both shapes have the same area
The area of the square is:
The area of the triangle is:
Equate both areas
Divide both sides by x
Multiply both sides by 2
The triangle inequality requires the third side be in the range
.. 12 -4 ≤ third side ≤ 12 +4
.. 8 ≤ third side ≤ 16 . . . . . . . . . your answer is the number(s) in this range
_____
Some define the triangle inequality using < rather than ≤. Be careful here.
Surface area in units of PI = 2 x r x h +2 x r^2
first picture:
r = 7, h = 18
2 x 7 x 18 + 2 x 7^2
252 + 98
350 PI cm^2
2nd picture:
2 x 9 x 20 +2 x 9^2
360 + 162
522 PI in^2
Well there are no even numbers in there, so the probability of taking one out must be 0
