Answer:
Step-by-step explanation:
The ladder, ground, and building form a right triangle where the vertical distance between the top of the ladder and the bottom of the ground is one leg, the horizontal distance between the bottom of the ladder and the building is another leg, and the length of the ladder is the hypotenuse.
For any right triangle, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared (
), where 
is the hypotenuse.
Let the length of the ladder be 
(hypotenuse of right triangle). The distance between the top of the ladder and the ground (vertical distance) can be represented as 
.
From the Pythagorean Theorem, we then have:
Expand using 
:
Subtract from both sides and add 
to both sides:
Combine like terms:
Divide both sides by 2:
Therefore, the length of the ladder is 25 feet.
Based on the triangle inequality theorem, the that is false about the relationship of the side of the triangle given is: D. x = 7.
<h3>What is the Triangle Inequality Theorem?</h3>
The triangle inequality theorem holds that the length of any side of a triangle is less than the sum of the length of the sides of the other two sides.
Applying the triangle inequality theorem, it means the following should be true for any value of x given:
x + 2 + x + 3 > 3x - 2
2x + 5 > 3x - 2
Plug in x = 3 to find out:
2(3) + 5 > 3(3) - 2
11 > 4 (True)
Plug in x = 1 to find out:
2(1) + 5 > 3(1) - 2
8 > 2 (True)
Plug in x = 7 to find out:
2(7) + 5 > 3(7) - 2
19 > 19 (FALSE)
Therefore, the false statement is: D. x = 7.
Learn more about the triangle inequality theorem on:
brainly.com/question/309896
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There are 3 1/3
Because 3/2*3 1/3 =5
I don’t know but I don’t knifes
Answer:
x=62
y=45
Step-by-step explanation:
