One leg of a right-angled triangle ABC is twice as long as the other. Triangle A'B'C is formed by rotating the triangle ABC around the vertex of a right angle c by 30°. The points A, A', B, B' and c are vertices of the convex pentagon whose area is 20 + 8/3 units. Calculate the leg lengths of the triangle ABC.
One leg of a right-angled triangle ABC is twice as long as the other. Triangle A'B'C is formed by rotating the triangle ABC around the vertex of a right angle c by 30°. The points A, A', B, B' and c are vertices of the convex pentagon whose area is 20 + 8/3 units. Calculate the leg lengths of the triangle ABC.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 35E
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