1 / 12

Solving Triangles

Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad , Glen Whiffen , John Owen, Robert Haese , Sandra Haese and Mark Bruce Haese and Haese Publications, 2004. Chapter 10 – Section H: The Sine Rule. Solving Triangles. SSS. SAS. SSA.

wes
Download Presentation

Solving Triangles

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Material Taken From:Mathematicsfor the international student Mathematical Studies SLMal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark BruceHaese and Haese Publications, 2004

  2. Chapter 10 – Section H: The Sine Rule Solving Triangles SSS SAS SSA ASA, AAS • To solve a non-right triangle you need at least 3 pieces of information: • 3 sides • 2 sides & the angle between • 2 sides & an angle opposite • 2 angles & 1 side

  3. C a b B A c Sine Rule SSA ASA, AAS

  4. 1) Find the length of AC.

  5. 2) Find the length of AB.

  6. A 23º C B 15 cm 3) In the diagram, triangle ABC is isosceles. AB = AC, CB = 15 cm and angle ACB is 23°. Find: (a)the size of angle CAB; (b) the length of AB. • Diagram not to scale

  7. 4) A farmer wants to construct a new fence across a field. The plan is shown below. The new fence is indicated by a dotted line. Calculate the length of the fence. 75° 40° 410 m Diagram not to scale

  8. 5)The figure shows a triangular area in a park surrounded by the paths AB, BC and CA, where AB = 400 m. (a) Find the length of AC using the above information. Diana goes along these three paths in the park at an average speed of 1.8 m/s. (b)Given that BC = 788m, calculate how many minutes she takes to walk once around the park.

  9. 6) In triangle ABC, AC = 5, BC = 7, A = 48°, as shown in the diagram Find the measure of angle ABCgiving your answer correct to the nearest degree. C 7 5 48° A B diagram not to scale

  10. 7) The diagram below shows triangle PQR. The length of [PQ] is 7 cm, the length of [PR] is 10 cm, and PQR is 75°. • (a) Find PRQ • (b) Find the area of triangle PQR diagram not to scale

  11. Homework • Worksheet • #1abef • #2a • #3ace • Pg 341 – H.1 2abc

More Related