Answer:
square root of 700
Step-by-step explanation:
18*18+x*x=32*32
324+x*x=1024
x*x=700
x=square root of 700
The length of the other leg of the right-angled triangle with a hypotenuse of the length of 32 meters and one leg of the length of 18 meters is √700 or 5√28 meters, found using the Pythagoras Theorem.
By the Pythagoras Theorem, in a right-angled triangle, the square of the length of the hypotenuse is the sum of the square of the lengths of the two legs (base and perpendicular), that is:
Hypotenuse² = Perpendicular² + Base².
In the question, we are given a right-angled triangle, with a hypotenuse of the length of 32 meters and one leg of the length of 18 meters.
We are asked to find the length of the other leg.
We assume the length of the other leg to be x meters.
To find the length of the other leg, we will use the Pythagoras Theorem, according to which: Hypotenuse² = Perpendicular² + Base².
or, 32² = 18² + x²
or, x² = 32² - 18² = 1024 - 324 = 700
or, x = √700 = √(25*28) = √(5² * 28) = 5√28.
∴ The length of the other leg of the right-angled triangle with a hypotenuse of the length of 32 meters and one leg of the length of 18 meters is √700 or 5√28 meters, found using the Pythagoras Theorem.
Learn more about the Pythagoras Theorem at
https://brainly.com/question/231802
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