The length of the hypotenuse is equal to √117. The correct option is C.
What is the Pythagorean theorem?
Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
The formula of the Pythagorean theorem for a right-angle triangle is,
H² = P² + B²
Given data is Hypotenuse =? , Base = 9 and Perpendicular = 6.
The hypotenuse will be calculated as below:
H² = P² + B²
H² = ( 6 )² + ( 9 )²
H² = 36 + 81
H² = 117
Take the square root of 117.
H = √117
Therefore, the length of the hypotenuse is equal to √117. The correct option is C.
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