Find the missing side lengths. Leave your answer as radicals in simplest form. 2)uV45°8√2A) u = 8√√2, v= 8√√√28√√38√√3B) u =, V =33C) u = 8, v = 8D) u=16, v = 16

Answered: 2) u V 45° 8√2 A) u = 8√√2, v= 8√√2…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Find the missing side lengths. Leave your answer as radicals in simplest form.

2)
u
V
45°
8√2
A) u = 8√√2, v= 8√√√2
8√√3
8√√3
B) u =
, V =
3
3
C) u = 8, v = 8
D) u
=
16, v = 16

Expert Solution

Step 1

As we know from the trigonometric ratios.

$\sin (x) = \frac{P e r p e n d i c u l a r}{H y p o t e n u s e} \cos (x) = \frac{B a s e}{H y p o t e n u s e} \tan (x) = \frac{P e r p e n d i c u l a r}{B a s e}$

Given:

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2) u V 45° 8√2 A) u = 8√√2, v= 8√√2 8√√3 8√√3 B) u = 3 3 C) u = 8, v = 8 D) u = 16, v = 16 V=