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madam [21]
2 years ago
14

Find the area of the smallest side of the right triangle. A = 169 ft² A = 144 ft²

Mathematics
1 answer:
Ghella [55]2 years ago
8 0

The area of the smallest side of the right triangle is 25 ft².

<h3>What is a right-angle triangle?</h3>

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.

To know more about triangles follow

brainly.com/question/17335144

#SPJ1

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