Grade 8 Math · Geometry

Find missing right-triangle sides

Find missing right-triangle sides.

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What you’ll learn

Find missing right-triangle sides.

Key idea

Use addition of leg squares for a missing hypotenuse and subtraction from the hypotenuse square for a missing leg.

Add squares for a missing hypotenuse, subtract from its square for a missing leg, then take positive root.

Worked example

Enter the exact value or ordered values in the format requested below.

Right-triangle legs are 28,96 units. Enter the exact numerical hypotenuse length.

  1. Right-triangle relation gives c²=28²+96²=10000, so positive hypotenuse c=100.
  2. For a missing other leg, b²=100²-28²=9216, so positive b=96.

Answer: 100

Quick Check

Evaluate a worked attempt at find missing right-triangle sides, identify the first invalid step, and provide the correction.

Find hypotenuse for right-triangle legs 3,4: Step 1 computes square sum 25. Step 2 reports 25 as side length. Locate the first invalid step and correct the length.

Choose one answer

Show a hint

Label which known side is a leg and which is the hypotenuse.