Answer:
Let us take 4,,8
Step-by-step explanation:
When you have a 30-60-90 triangle, your sides will always have a set pattern.
The side across from the 30 angle will be equal to n (so n = 4).
The side across from the 60 angle will always be equal to n√(3) (so 4√(3)).
The side across from the 90 angle will always be 2n (so, 8).
You could go into trig or Pythagorean theorem to prove this, but it's much simpler to remember it because it's a special triangle.
Answer:
slope = -2
y-intercept = 5
Step-by-step explanation:
1) Find slope:
=
= -2
-2 = slope
2) Find y intercept trough point slope and slope-intercept forms
y - y1 = m (x - x1)
y - 9 = -2 (x + 2)
y - 9 = -2x -4
+ 9 + 9
y = -2x + 5
y = mx + b with b being the y-intercept
5 = y-intercept
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;