Use the image to answer the question.
A right-angled triangle is labeled as follows: the height is labeled 9 inches; the base is labeled 12 inches; and hypotenuse is labeled c.
Use the Pythagorean Theorem to give an equation that is true for the given triangle. Do not solve the equation.(1 point)
Responses
92+c2=122
9 squared plus c squared is equal to 12 squared
92+122=c2
9 squared plus 12 squared is equal to c squared
c2+122=92
c squared plus 12 squared is equal to 9 squared
122−92=c2
12 squared minus 9 squared is equal to c squared
9 squared plus 12 squared is equal to c squared
92 + 122 = c2
The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (height and base). To represent this using the given triangle, we can say:
c^2 = 9^2 + 12^2
This equation shows that the square of the hypotenuse (c) is equal to the sum of the squares of the height (9 inches) and the base (12 inches). This equation is true for the given right-angled triangle.