Special Right Triangles Worksheet with Answer Key

What's on the worksheet

1. Find the other two sides of a 45-45-90 triangle from one side, exactly:
   hypotenuse 16leg 4\sqrt{3}leg \dfrac{9}{2}hypotenuse 2\sqrt{10}hypotenuse 3\sqrt{3}
2. Find the other two sides of a 30-60-90 triangle from one side, exactly:
   short leg 2\sqrt{2}short leg \dfrac{5}{3}hypotenuse 3\sqrt{2}long leg \sqrt{6}long leg 6\sqrt{2}
3. Find the length of a water slide and the distance from F to its bottom.
4. Explain how to tell a student's leg lengths are wrong, then find the legs correctly.
5. Find x and the hypotenuse of an isosceles right triangle, and y and the long leg of a 30-60-90.
6. Find the edge lengths of Hannah's drafting triangle from its perimeter.
7. Find the diagonals of a rhombus with a 60 degree angle.
8. Find the exact throw from home plate to second base on a baseball infield.