Given the length of the perpendicular height and base length, the hypotenuse of the right triangle is 2√74 ft.
Hence option a)2√74 ft is the correct answer.
What is the length of the missing side?
The Pythagoras theorem can be expressed as;
c = √( a² + b² )
Where c is hypotenuse, a and b are the other two sides of the right triangle.
Given the data in the image;
- Length leg 1 of the right triangle a = 14ft
- Length leg 2 of the right triangle b = 10ft
- Length of hypotenuse c = ?
Plug the given values into the above equation and solve for the hypotenuse 'c'.
c = √( a² + b² )
c = √( (14)² + (10)² )
c = √( 196 + 100 )
c = √( 296 )
296 can be written as 4 × 74, and 4 can further be written as 2²
Hence
c = √( 2² × 74 )
c = 2√74 ft
Given the length of the perpendicular height and base length, the hypotenuse of the right triangle is 2√74 ft.
Hence option a)2√74 ft is the correct answer.
Learn more about Pythagorean theorem here: brainly.com/question/343682
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