Question

8) In triangle ABC the angle at B is 90°. If AB = 29mm and the angle at C is 33° find the length of the side AC.

9) In triangle DEF the angle at E is 90°. If DF = 26m and the angle at F is 51° find the length of the side DE.

10) The sine of 30 degrees is one half. Find the length of the hypotenuse of a right-angled triangle if the side opposite the angle of 30° is of length 138cm.

Answer 1

8) In triangle ABC, the angle at B is 90° and AB = 29 mm. Using the Law of Cosines, the length of the side AC is 36 mm.

9) In triangle DEF, the angle at E is 90° and the side DF is 26m. Using the Law of Cosines, the length of the side DE is 31.52 m

10) The sine of 30 degrees is one half. The side opposite the angle of 30° is of length 138cm. Using the Pythagorean theorem, the length of the hypoten