The measurements of two sides of a triangular playground are 24 feet and 30 feet. Which length could be the measurement of the t
2 answers:
The length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.
<h3>What is triangle inequality theorem?</h3>
Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
(a+b)>c
(b+c)>a
(c+a)>b
There is a triangular playground. The measurements of two sides of a triangular playground are 24 feet and 30 feet.
Suppose the length of the measurement of the third side of the triangular playground is <em>c</em> meters.
As the two sides are 24 ft and 30 ft long. Thus, by the triangle inequality theorem,
For the sides 24 ft and c ft,
Thus, the length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.
Learn more about the triangle inequality theorem here;
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Answer:
Yes! The equation, y = 12x + 28 , work.
Step-by-step explanation:
The line passes through points (-1, 16) and (5, 88)
The slope of the line = change in y ÷ change in x
i.e slope = = 12
Taking another point (x ,y) on the line;
Slope is = 12
y - 16 = 12x + 12
y = 12x + 12 + 16
y = 12x + 28
So the equation, y = 12x + 28, work!
The area of square LMNP is 50
<h3>What is a circle?</h3>A circle is the locus of points equidistant from a fixed point which is known as the center of the circle.
A circle is defined if the center and the radius is known.
Analysis:
Perimeter of a circle = 2πr
Given perimeter = 10π
2πr = 10π
2r = 10
r = 10/2 = 5
r = MO
so the diagonal of the square is actually the diameter of the circle = 5+5 = 10
To find the side, x of the square the diagonal and the sides form a right-angled triangle, by Pythagoras, =
+
2 = 100
= 100/2 = 50
Also area of square is = 50
In conclusion, the area of square LMNP is 50
Learn more about circles: brainly.com/question/24375372
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