FINDING THE UNKNOWN IN TRIANGLE CIRCUMSCRIBING A CIRCLE WORKSHEET

Use Pythagoras' theorem in the following.

(Answer correct to 1 decimal place)

Problem 1 :

trigonometry-triangle-q1.png

OM ⊥ AB. AO = 5 cm, OM = 4 cm. Find the length of AM and AB.

Solution

Problem 2 :

trigonometry-triangle-q2.png

OM ⊥ CD. MO = 6 m, OD = 8 m. Find the length of MD and CD.

Solution

Problem 3 :

trigonometry-triangle-q3.png

OM ⊥ EF. OM = 12 mm, OF = 13 mm. Find the length of FM and FE.

Solution

Problem 4 :

trigonometry-triangle-q4.png

OM ⊥ GH. MH = 8 cm, OM = 6 cm. Find the length of OH and GH.

Solution

Problem 5 :

trigonometry-triangle-q5.png

OM ⊥ JK. KJ = 14 cm, OM = 3 m. Find the length of KM and OK.

Solution

Problem 6 :

trigonometry-triangle-q6.png

OM ⊥ LP. OL = 10 m, LP = 18 mm. Find the length of LM and OM.

Solution

Answer Key

1)  Length of chord AB is 6 cm

2)  length of chord CD is 10.6 m.

3)  Length of FM is 5 mm and length of FE is 10 mm.

4)  length of OH is 10 cm and GH is 16 cm.

5)  length of KM is 0.07 m and OK is 3 m.

6)  LM = 0.0019 m and OM = 9.9 m

Recent Articles

  1. Finding Range of Values Inequality Problems

    May 21, 24 08:51 PM

    Finding Range of Values Inequality Problems

    Read More

  2. Solving Two Step Inequality Word Problems

    May 21, 24 08:51 AM

    Solving Two Step Inequality Word Problems

    Read More

  3. Exponential Function Context and Data Modeling

    May 20, 24 10:45 PM

    Exponential Function Context and Data Modeling

    Read More