Mrs.D Math · 8th Grade

HYPOTENUSE
HERO

Pythagorean Theorem
📐 Pythagorean Theorem
📏 Hypotenuse
🦵 Legs
a² + b² = c²
📐 3² + 4² = 5²
🔬 c = √(a² + b²)
🏆 c is the longest side!
📺 Mrs.D Math Lesson
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📚 The Pythagorean Theorem

The Big Idea

a² + b² = c²

In a right triangle, the two legs (a and b) make the right angle. The hypotenuse (c) is the longest side — always across from the right angle.

1
Finding the hypotenuse? Square the legs, add, then take the square root.
legs 3 & 4 → 3² + 4² = 9 + 16 = 25 → c = √25 = 5
2
Finding a leg? Square the hypotenuse, subtract the known leg squared, then square root.
c = 13, leg = 5 → 13² − 5² = 169 − 25 = 144 → √144 = 12
3
Not a perfect square? Use the √ key on the calculator and round to the nearest tenth.

Real World Right Triangles

Right triangles hide everywhere! Find them, then decide: is the missing side a leg or the hypotenuse?

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Ladders & ramps — the ladder or ramp surface is the hypotenuse.
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TV screens & fields — the diagonal is the hypotenuse; width and height are legs.
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Diagonal inside a box (Hard!) — two steps: floor diagonal first, then use it with the height.
d = √(l² + w² + h²)

How to Play

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Missing Side — Find the missing leg or hypotenuse of a right triangle.
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Real World — Ladders, TVs, kites, ramps, and boxes with pictures!
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Mixed — Both types together for the ultimate challenge!
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Calculator — Tap the gold calculator button any time. It even has √ and x² keys. Try it in your head first — then verify! 💡
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MISSING SIDE
📺 Mrs.D Math Lesson
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Try it in your head first — then verify! 💡
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