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Special right triangles: 45-45-90 and 30-60-90 — Homework

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Special right triangles: 45-45-90 and 30-60-90 — Homework

Use the 45-45-90 or 30-60-90 side ratios directly -- no need to redo the Pythagorean Theorem from scratch.

  1. 1.A 45-45-90 triangle has a leg of length 9. Find the hypotenuse.
  2. 2.A 45-45-90 triangle has a hypotenuse of 6 * sqrt(2). Find each leg.
  3. 3.A 30-60-90 triangle has a shortest side of 4. Find the longer leg and the hypotenuse.
  4. 4.A 30-60-90 triangle has a hypotenuse of 22. Find the shortest side and the longer leg.
  5. 5.A square has a diagonal of length 8 * sqrt(2). Find the side length of the square, and explain how the diagonal splits the square into two special right triangles.
🌲 Homeschool of the FutureTenth Grade · Math · week 24 homework