By Pythagoras theorem, in the given right triangle, the missing length to the nearest tenth is Option(A) 13.3 ft.
What is Pythagoras theorem?
According to Pythagoras theorem, the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
Mathematically,
(Hypotenuse)² = (Base)² + (Height)² .
How to find the missing length of the given triangle ?
For the given triangle, length of hypotenuse is 24ft., height is 20ft and base is y ft.
Using Pythagoras theorem,
⇒ (24)² = y² + (20)²
⇒ y² = 24² - 20²
⇒ y² = 176
∴ y = √176 = 13.2665 ≈ 13.3 ft.
Thus, by Pythagoras theorem, in the given right triangle, the missing length to the nearest tenth is Option(A) 13.3 ft.
To learn more about Pythagoras theorem, refer -
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