PrerequisitesPrerequisite

The Pythagorean theorem - finding the hypotenuse

Calculate a missing hypotenuse in a right triangle.

  • In a right triangle, , where is the hypotenuse.
  • Add the squares of the two shorter sides.
  • Take the positive square root: a length cannot be negative.

Example 1

Find the hypotenuse .

Simplify the numerical terms and collect like terms.Take the positive square root for the stated positive quantity.

Example 2

Find the hypotenuse .

Simplify the numerical terms and collect like terms.Take the positive square root for the stated positive quantity.

Remember
Use The Pythagorean theorem only when the triangle has a right angle.

Your turn

Question 1

Find the hypotenuse .

Check answer
Simplify the numerical terms and collect like terms.Take the positive square root for the stated positive quantity.
Question 2

Find the hypotenuse .

Check answer
Simplify the numerical terms and collect like terms.Take the positive square root for the stated positive quantity.
Question 3

Find the hypotenuse .

Check answer
Simplify the numerical terms and collect like terms.Take the positive square root for the stated positive quantity.
Question 4

Find the hypotenuse .

Check answer
Simplify the numerical terms and collect like terms.Take the positive square root for the stated positive quantity.
Question 5

Find the hypotenuse .

Check answer
Simplify the numerical terms and collect like terms.Take the positive square root for the stated positive quantity.
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