The distance from point A to B is 1 foot.
Given,
There are 12 steps in the staircase.
We need to find the distance of the steps.
The distance is given by AB.
Feet is the plural form of the foot.
What is a Pythagorean theorem?
It states that in a right-angle triangle the hypotenuse is equal to the squares of the other two sides.
If the hypotenuse is H and the other two sides are A and B.
H² = A² + B²
We have a figure,
Where it is in a right-angled triangle.
Two sides are given: 7.5 inches and 10 inches.
And hypotenuse = AB.
Applying the Pythagorean theorem.
7.5² + 10² = AB²
AB² = 56.25 + 100
AB² = 156.25
AB = [tex]\sqrt{156.25}[/tex]
AB = 12.5 inches
Now,
AB = 12.5 inches.
We need to convert it into feet.
12 inches =1 foot
Multiplying 12.5/12 on both sides.
12.5/12 x 12 inches = 12.5/12 x 1 feet
12.5 inches = 1.0416 feet
Rounding to the nearest tenth we get,
12.5 inches = 1 feet
AB = 1 feet
Thus the distance of the staircase from point A to B is 1 foot.
Learn more about the Pythagoras theorem here:
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