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Word problemsArithmeticMiddle schoolabout 0:45

The hypotenuse of a right triangle with legs 5 and 12: animated lesson

A narrated, step-by-step word problems video lesson with captions. Final answer: Hypotenuse = 13.

Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.3 MB) · Captions (WebVTT)

Steps on screen

  1. 1. The problem
    Worked example
    The hypotenuse of a right triangle with legs 5 and 12
  2. 2. Step by step
    1. Pythagorean theorem
    2. Square root
  3. 3. The answer
    Hypotenuse = 13\text{Hypotenuse = 13}

    Hypotenuse = 13

  4. 4. Check
    • 5² + 12² = 13² ✓

Transcript

The problem. Here is the problem: The hypotenuse of a right triangle with legs 5 and 12. Right triangle with legs 5 and 12; the hypotenuse follows from a squared plus b squared equals c squared.

Step by step. Pythagorean theorem. c squared equals 5 squared plus 12 squared equals 169. Square root. c equals the square root of 169 equals 13.

The answer. So the answer is Hypotenuse equals 13. Right triangle with legs 5 and 12; the hypotenuse follows from a squared plus b squared equals c squared.

Check. 5 squared plus 12 squared equals 13 squared, which checks out.

About word problems

Turn everyday situations about prices, speed, ages and interest into equations and solve them.

The hypotenuse of a right triangle with legs 5 and 12