Special Right Triangles AssignmentFind the value of the unknown variable in each triangle. Express in the simplest radical form.1.2.33030y3.4.2/33030PageDELL24%&478.< (0 google.com/c/MTQ4NzgxMjcwMTQ4/a/Mjc5NTg3MDc40TU3/detailsSpecial Right Triangles AssignmentFind the value of the unknown variable in each triangle. Express in the simplest radical form.1.2.456.45453.4.I 12- ZyЗа45Page1/ 2+DELL女$&34578eryiこの< (023

Answered: 1. 2. 30 30 2. y 4. 23 30 30 3.

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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Special Right Triangles Assignment
Find the value of the unknown variable in each triangle. Express in the simplest radical form.
1.
2.
3
30
30
y
3.
4.
2/3
30
30
Page
DELL
24
%
&
4
7
8.
< (0

google.com/c/MTQ4NzgxMjcwMTQ4/a/Mjc5NTg3MDc40TU3/details
Special Right Triangles Assignment
Find the value of the unknown variable in each triangle. Express in the simplest radical form.
1.
2.
45
6.
45
45
3.
4.
I 12- Zy
За
45
Page
1/ 2
+
DELL
女
$
&
3
4
5
7
8
e
r
y
i
この
< (0
23

Expert Solution

Step 1

Note: As per our policy, in a question with more than four parts, it is instructed to answer the first three.

1. Base of right-angle triangle=2 units

Angle formed with base and hypotenuse= $30 °$

Hypotenuse=x units

Use trigonometric ratio to find the length of hypotenuse x.

$\begin{array}{rcl} \cos 30 ° & = & \frac{b a s e}{h y p o t e n u s e} \\ \frac{\sqrt{3}}{2} & = & \frac{2}{x} \\ x & = & \frac{4}{\sqrt{3}} \\ = & \frac{4 \sqrt{3}}{3} \end{array}$

Thus, the length of x is $\frac{4 \sqrt{3}}{3}$ units.

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