Question

For the right Triangle below, Find the exact values of the side lengths c and a.

Answer 1

$c=3\sqrt{3}\\a=4\sqrt{2}$

Step-by-step explanation:

The trigonometric ratios will be used used for finding the values of given variable

For c

We have to use a ratio that has perpendicular and base in it. so we will use tan x

$tan\ 60 = \frac{P}{B}\\tan\ 60=\frac{c}{3}\\\sqrt{3}=\frac{c}{3}\\3*\sqrt{3}=c\\c=3\sqrt{3}$

similarly for a

$sin\ 45 = \frac{b}{h}\\\frac{\sqrt{2}}{2}=\frac{a}{8}\\\frac{\sqrt{2}}{2}*8=a\\a=4\sqrt{2}$

Hence,

$c=3\sqrt{3}\\a=4\sqrt{2}$

Keywords: Triangles, Trigonometric Ratios

Learn more about triangle at:

• brainly.com/question/10879401
• brainly.com/question/10940255

#LearnwithBrainly