Geometry · Chapter 8 · Lesson 8.7 · Printable PDF · Free

Solving Right Triangles Worksheet with Answer Key

8 problems on solving right triangles with sine, cosine and tangent: finding missing sides, a crane boom, trapezoid height, attic rafters, and a student's naming mistake. 2 pages, with a worked answer key and a one-page lesson handout. Free to download, no sign-in.

8 problems2 pagesanswer keylesson handout
Printable Solving right triangles worksheet with answer key - Geometry (Page 1 PDF preview)
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What's on the worksheet

  1. Solve each trig equation for x to two decimal places:
    \cos 23^\circ = \dfrac{x}{18}\tan 61^\circ = \dfrac{x}{4.5}\sin 17^\circ = \dfrac{6}{x}\tan 34^\circ = \dfrac{13}{x}\cos 76^\circ = \dfrac{2.4}{x}
  2. Find how high the crane boom tip is and how far it is horizontally.
  3. Find the perimeter of a right triangle from one leg and an angle.
  4. Find the height, shorter base and area of an isosceles trapezoid.
  5. Write the hypotenuse and leg in terms of b and the angle, from either acute angle.
  6. Find the sides of a right triangle from an angle and the altitude to the hypotenuse.
  7. Find what is wrong with Mia's naming of sides and find QR correctly.
  8. Find the rafter length and other measures for an attic roof.

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Solving right triangles: the lesson ›