Question

1. What is the Pythagorean Theorem?

(Score for Question 2:
of 5 points)
2. What is the value of c? Show all of your work.
A
12 cm
B
9 cm
Answer:
(Show all your work.)
c cm
C

Answer 1

Answer: The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.

You might recognize this theorem in the form of the Pythagorean equation: 2+2=2a2+b2=c2

If you know the length of any 2 sides of a right triangle you can use the Pythagorean equation formula to find the length of the third side.

Answer 2

Explanation:

1. The Pythagorean Theorem can be expressed as a² + b² = c², where a and b are the lengths of the two legs (the sides adjacent to the right angle) of a right-angled triangle, and c is the length of the hypotenuse (the side opposite the right angle).

2. To find the value of c (hypotenuse) when the other two values are 12 and 9, we can plug in the given values into the Pythagorean Theorem and solve for c.

a² + b² = c²

12² + 9² = c²

144 + 81 = c²

225 = c²

c = sqrt(225)

c = 15

Therefore, the value of c (hypotenuse) when the other two values are 12 and 9 is 15 cm.