Triangle ABC is inscribed in a semicircle of diameter a = 2 (a) If x denotes the length of side AC, express the length y of side BC as a function of x. (Hint: Angle ACB is a right angle.) y = b) Express the area ? of triangle ABC as a function of

Triangle ABC is inscribed in a semicircle of diameter a = 2 (a) If x denotes the length of side AC, express the length y of side BC as a function of x. (Hint: Angle ACB is a right angle.) y = b) Express the area ? of triangle ABC as a function of

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.1: Angles

Problem 37E

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Question

Triangle ABC is inscribed in a semicircle of diameter a = 2

(a) If x denotes the length of side AC, express the length y of side BC as a function of x. (Hint: Angle ACB is a right angle.)
y =

b) Express the area ? of triangle ABC as a function of x.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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