Use the drawing for Theorem 61 for exer- cises 4 to 7. Express answers as radicals and fractions if applicable. V4.If AD = 9 in., DB = 4 in., find DC, AC, and BC. %3D %3D 4.10 Proportional Segments in Right Triangles Theorem 61 It in a right triangle the perpendicular is drawn from the vertex of the right angle to the hypotenuse: 1. The two triangles thus formed are similar to the given tri- angle and to each other. II. The perpendicular is the mean proportional between the segments of the hypotenuse. II. Each leg of the given triangle is the mean proportional between the hypotenuse and the adjacent segment of the hypotenuse. Given: Right AABC, and CD the I from C to the hypotenuse AB Prove: I. AACD ~ AABC ~ ACBD II. AD : CD = CD : DB – AD = CD Bb BC BA %3D B. AC DB ep вс III. AD : AC = AC : AB and BD : BC = BC : BA ло %3D AB %3D

Use the drawing for Theorem 61 for exer- cises 4 to 7. Express answers as radicals and fractions if applicable. V4.If AD = 9 in., DB = 4 in., find DC, AC, and BC. %3D %3D 4.10 Proportional Segments in Right Triangles Theorem 61 It in a right triangle the perpendicular is drawn from the vertex of the right angle to the hypotenuse: 1. The two triangles thus formed are similar to the given tri- angle and to each other. II. The perpendicular is the mean proportional between the segments of the hypotenuse. II. Each leg of the given triangle is the mean proportional between the hypotenuse and the adjacent segment of the hypotenuse. Given: Right AABC, and CD the I from C to the hypotenuse AB Prove: I. AACD ~ AABC ~ ACBD II. AD : CD = CD : DB – AD = CD Bb BC BA %3D B. AC DB ep вс III. AD : AC = AC : AB and BD : BC = BC : BA ло %3D AB %3D

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.2: Trigonometric Functions Of Angles

Problem 50E

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