Answer: 15.59 or 9√3
Step-by-step explanation:
We can use the Pythagorean Theorem to calculate the third side.
c² = a² + b² In a 30 60 90 Triangle, the hypotenuse is twice the length of the short leg of the right angle.
c is the hypotenuse. a is the short leg
18² = 9² + b²
324 = 81 + b² Subtract 81 from both sides.
324 - 81 = b² becomes b² = 243 Take the square root of both sides
b = 15.5884 . This can be rounded to 15.59 or 15.6 depending on significant digits or amount of precision required.
The proportions of the sides of the 30 60 90 triangle can also be used:
2² = 1² + b²
4 = 1 + b²
3 = b²
√3 = b
You can always multiply the length of the short leg by √3 to get the length of the side opposite the 60° angle
Answer:
P = 20.
Step-by-step explanation:
Given that:
the variable that is not given is P. So to find out P, we substitute the two given values into the equation as following:
P= 2L + 2W
<=> P = 2(6) + 2(4)
<=> P = 12 + 8
<=> P = 20.
Hope it will find you well.
Answer:
False
Step-by-step explanation:
The left side 20 does not equal to the right side 22, which means that the given statement is false
Answer: Each side of the triangle equals 7.11 centimeters
Step-by-step explanation: The question states that what we have is an equilateral triangle. That’s a triangle with all three sides equal. Having that in mind, if one side measures 2cm for example, then the other two sides measure 2cm as well. Hence if one side of the equilateral triangle measures x (the dimensions are still unknown), then the other two sides each measure x as well. If the perimeter of the triangle is given as 21.33 cm, and each side of the equilateral triangle is x, then
x + x + x = 21.33
3x = 21.33
Divide both sides of the equation by 3
x = 7.11
Therefore, each side of the equilateral triangle equals 7.11 cm