The area of the smallest side of the right triangle is 25 ft².
What is a right-angle triangle?
A triangle having two sides at an angle of 90 degrees is called the right-angle triangle.
Note:- The figure is missing in the question I am attaching the complete figure with the answer below for calculation.
Given that:-
The hypotenuse = 169 ft ² = 13 ft
The side with area 144 ft² = 12 ft
Using Pythagoras' identity to find the third side x ( smallest )
x² + 12² = 13²
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x = 5
Thus the area of the smallest side will be calculated as:-
A = 5²
A = 25 ft²
Therefore the area of the smallest side of the right triangle is 25 ft².
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