In ( ABC ) right-angled at (C )

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

\triangle ABC

right-angled at

C

, the lengths of the two given sides are

AC = 9\,\text{cm}

and

AB = 15\,\text{cm}

. (i) Find the measure of

\angle A

correct to the nearest degree. (ii) Hence determine the measure of

\angle B

. (iii) Verify that the answers to parts (i) and (ii) satisfy the angle-sum property of a triangle.