The length of ladder used is 12.25 ft.
<h3>What is Pythagoras theorem?</h3>
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse .
The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
example:
The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.
Solution:
Given : Hypotenuse = 16 units
Let us consider the given side of a triangle as the perpendicular height = 8 units
On substituting the given dimensions to the Pythagoras theorem formula
Hypotenuse^2 = Base^2 + Height^2
16^2 = B^2 + 8^2
B^2 = 256 - 64
B = √192 = 13.856 units
Therefore, the measure of the third side of a triangle is 13.856 units.
given:
base= 2.5 ft,
perpendicular= 12 ft
Using Pythagoras theorem,
H² = B² + P²
H² = 2.5² + 12²
H² = 6.25+ 144
H= 12.25 ft
Learn more about Pythagoras theorem here: brainly.com/question/343682
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Answer:
2x - xy = 0
Step-by-step explanation:
We need to solve the equations simultaneously to find the values of x and y:
x + y = 12
x - y = 8 - we need to add the equations together
2x = 20
x = 10
Then we substitute x into one of the equations to find y:
10 + y = 12
12 - 10 = y
y = 2
Now we substitute x and y into the final expression:
2(10) - 2(10)
20 - 20 = 0
Answer:
A:38 c:54
Step-by-step explanation:
First off, I did the easiest which was a. i found the value of A by subtracting 180 by 142. because a flat line is 180 degrees.
For C, It was more difficult. I subtracted 88 by the value of A, since the value of A is the same as the one next to 88. So I subtracted 126 (88+38) and got 54.
Fortunately, I couldn't figure out B though, but i think it is a similar answer to c.
