Use the image to answer the question.

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+122=c2
9
2
+
12
2
=
c
2
9 squared plus 12 squared is equal to c squared - no response given

92+c2=122
9
2
+
c
2
=
12
2
9 squared plus c squared is equal to 12 squared - no response given

c2+122=92
c
2
+
12
2
=
9
2
c squared plus 12 squared is equal to 9 squared - no response given

122−92=c2

Answer 1

The correct response that uses the Pythagorean Theorem for the given right-angled triangle is:

\[ 9^2 + 12^2 = c^2 \]

This states that the sum of the squares of the legs (height and base) equals the square of the hypotenuse.