Answered

Join IDNLearn.com and start getting the answers you've been searching for. Get the information you need from our community of experts who provide accurate and comprehensive answers to all your questions.

Find value of x in the 30° - 60° - 90° triangle. Give your answer as a simplified radical.

Find Value Of X In The 30 60 90 Triangle Give Your Answer As A Simplified Radical class=

Sagot :

VirαtKσhliidn

Given :-

  • A 30° - 60° - 90° traingle is given to us .
  • The perpendicular is 15 units .

To Find :-

  • The value of x .

Answer :-

As we can see that the triangle is divided by perpendicular bisector . So , the base gets divided into two equal halves . Here we will have to use the ratio of tan , as ;

[tex]\sf\longrightarrow[/tex] tan 60° = 15/x

[tex]\sf\longrightarrow[/tex] √3 = 15/x

[tex]\sf\longrightarrow[/tex] x = 15/√3

[tex]\sf\longrightarrow[/tex] x = √3² * 5/√3

[tex]\sf\longrightarrow[/tex] x = 5√3

[tex]\sf\longrightarrow[/tex] x = 5 * 1.732

[tex]\sf\longrightarrow[/tex] x = 8.66

Hence the required answer is 5√3 or 8.66 units.

Mhanifaidn

Answer:

  • x = 5√3

Step-by-step explanation:

The property of 30° - 60° - 90° right triangle, side ratios are:

  • s : l : h = 1 : √3 : 2

Since side x is opposite to 30° angle, it's the short leg and 15 is the long leg. Use ratios to find the value of x:

  • x : 15 = 1 : √3
  • x = 15/√3
  • x = 15√3/3
  • x = 5√3
Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.