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GED Math · Drill 7.13

Pythagorean theorem: find a leg

Family 7: Geometry

Calculator allowed, as on the test Has challenge problems ↓

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Worked examples

Two examples

Example 1

A right triangle has a hypotenuse of 13 and one leg of 5. How long is the other leg?
  1. Subtract: 132 − 52 = 169 − 25 = 144.
  2. √144.

Answer: 12

Example 2

A right triangle has a hypotenuse of 17 and one leg of 15. How long is the other leg?
  1. 289 − 225 = 64, and √64 = 8.

Answer: 8

Where this is taught: The Third Side, “Hypotenuse known: find the missing leg”

The drill

Ten problems

This drill also has challenge problems. They use the same skill, set up the way the GED test sometimes sets up a problem, so that it looks new at first.

How many:

Type each answer, then press Check my answers at the bottom. Commas in large numbers are fine.Write each answer on the line. The answer key, with the reasoning, is on the last page.

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