In , . Two students make the following observations: • Student X measures the ratio…
MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry
Problem
In △ABC, ∠B=90∘. Two students make the following observations:
• Student X measures the ratio of the side opposite ∠A to the hypotenuse and obtains the value 21.
• Student Y measures the ratio of the side adjacent to ∠C to the hypotenuse and also obtains 21.
(a) Using the observations, determine the measures of ∠A and ∠C.
(b) Show that the two acute angles of the triangle are complementary.
(c) If the hypotenuse is 10 cm, calculate the lengths of all the sides of the triangle.