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Geometry · Chapter 11 · Lesson 11.5 · Printable PDF

Constructing a Triangle from Given Parts Worksheet with Answer Key

7 problems on constructing a triangle from given parts: when three lengths make a triangle, isosceles perimeters, angles copied at the ends of a segment, SAS and SSA constructions, a flower bed, and an angle-side-angle construction. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

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What's on the worksheet

  1. Decide whether each set of three lengths gives a triangle, or whether the arcs miss or touch.
    \sqrt{3}, \sqrt{5}, 41.8, 2.6, 4.4\dfrac{3}{4}, \dfrac{5}{6}, \dfrac{3}{2}\sqrt{2}, \sqrt{8}, \sqrt{18}2\sqrt{3}, 3, \sqrt{40}
  2. Find every possible perimeter of an isosceles triangle from two side lengths.
  3. Find the values of x for which two copied angles meet in a triangle.
  4. Explain why a 60 degree angle with two given sides gives a triangle with the same third side.
  5. Find the distance from B to the other arm and the cases for where the arc meets it.
  6. Find the lengths the third side of Layla's flower bed can have.
  7. Check Maya's construction of triangle PQR from a side and two angles.

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The free lesson teaches it with worked examples and practice problems.

Constructing a triangle from given parts: the lesson ›

More Chapter 11 worksheets: Constructions