A right-angled triangle has its two shorter sides in the ratio (1 : 3 ).
MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry
Problem
A right-angled triangle has its two shorter sides in the ratio 1:3.
(i) Show that the largest angle of this triangle is 90∘.
(ii) Prove that the smallest acute angle of the triangle measures 30∘ without using a calculator.
(iii) Explain why the remaining acute angle must then be 60∘.