Trigonometry Assignment 3

Mathematics
Tutor: None Selected Time limit: 1 Day

The length of the hypotenuse of a 45°-45°-90° triangle is 12 units. Find the exact value of the length of the leg.

The length of the hypotenuse of a 30°-60°-90° triangle is 14 units. Find the exact value of the length of the short leg.

Oct 14th, 2014

1.

This is an isosceles right-angled triangle

Let unknown equal sides be x and x 

Using Pythagoras x²  + x² = 12² 

                                2x²  = 144          

                                 x²   = 72

                                  x = √72    exactly

              or simplified x = 6√2

2. note that in a  30°-60°-90° triangle the sides are in the rarios

                            1: √3 : 2   (smallest to biggest)

                       = 7: 7√3 : 14 (multiplying by 7)

So smallest side = 7 units exactly

Oct 14th, 2014

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Oct 14th, 2014
...
Oct 14th, 2014
Dec 7th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer