Answer:
x = 4
Step-by-step explanation:
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Answer:
B
Step-by-step explanation:
because b x b is equals to b raised to the power of 2
9514 1404 393
Answer:
84 in
Step-by-step explanation:
The Pythagorean theorem is used to find the length 'b'.
b^2 +12^2 = 37^2
b = √(37^2 -12^2) = √1225 = 35
Then the perimeter is the sum of side lengths:
P = a + b + c = 12 + 35 + 37
P = 84 . . . inches
EXPLANATION
We can apply the Obtuse Triangle Theorem to check if the the measures of the sides appropiately represents the measures of the triangle:
Perimeter = 40 cm = 4x + 2x + 2 + x + 3
Adding like terms:
40 = 7x + 5
Subtracting 5 to both sides:
40 - 5 = 7x
Adding like terms:
35 = 7x
Dividing both sides by 7:
35/7 = x
Simplifying:
Then, by the obtuse triangle theorem, the following relationship should be fulfilled.
Pyramid Volume = (Area of the Base * Height) ÷ 3
Height = 3 * Volume / (Area of Base)
Height = 3 * 216 / 36
Height = 18 cm