Pythagorean Theorem Math Questions

Formula

• The theorem can be written in an equation form "A^2 + B^2= C^2". Here, C represents the length of the hypotenuse, and A and B represent the length of the other two sides.

Question 1

• If six to the 2nd power plus eight to the 2nd power equals C to the 2nd power, what is C?

  6^2 + 8^2 = C^2

  36+64=100

  Hence, C=10

  The hypotenuse of the right angled triangle is 10.

Question 2

• If A to the 2nd power plus nine to the 2nd power equals 15 to the 2nd power, what is A?

  A^2 + 9^2 = 15^2

  A^2 + 81 = 225

  A^2 = 225-81

  A^2 = 144

  A = 12

  Hence, missing side is 12

Question 3

• If eight to the 2nd power plus B to the 2nd power equals 10 to the 2nd power, calculate B?

  8^2 + B^2 = 10^2

  64 + B^2 = 100

  B^2 = 100 -- 64

  B^2 = 36

  B = 6

  Hence, the missing side is 6.