Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.2 Geometry Essentials - A.2 Assess Your Understanding - Page A20: 43

Answer

$x=4$ units $A=90^{\circ},B=60^{\circ}$ and $C=30^{\circ}$

Work Step by Step

Similar triangles have their corresponding angles equal. Hence, $A=90^{\circ},B=60^{\circ}$ and $C=30^{\circ}$. The corresponding sides are proportional, thus: $\dfrac{x}{2} = \dfrac{8}{4}$ Simplify. $\dfrac{x}{2} = 2$ Multiply both sides by $2$. $x = 4$ Hence, the missing length is $4$ units and the missing angles are $A=90^{\circ},B=60^{\circ}$ and $C=30^{\circ}$.
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