The length of the hypotenuse of a 30 60 90 triangle is 11. What is the perimeter?


I believe it is either 33+11sqrt3 or 33/2+11/2sqrt3

Please help! I'm failing my math class this year

Respuesta :

Answer:

Perimeter of the triangle is [tex]26.015\\[/tex] units

Step-by-step explanation:

Given a [tex]30-60-90[/tex] degree angled triangle  

Let us calculate the length of side opposite the 30 degree angle

[tex]= \frac{1}{2} *[/tex]hypotenuse

[tex]= \frac{1}{2} * 11\\= 5.5[/tex] units

length of side opposite the 60 degree angle

[tex]= 5.5 * \sqrt{3} \\= 5.5 * 1.73\\= 9.515[/tex] units

The perimeter of a triangle is equal to the sum of length of all three sides

Thus, the perimeter of this [tex]30-60-90[/tex] degree angled triangle  is

[tex]11 + 5.5 + 9.515\\= 26.015\\[/tex] units

Thus, the  perimeter of the triangle is [tex]26.015\\[/tex] units

Answer: 33/2 + 11/2√3

Step-by-step explanation:

im not 100% sure but i think this is what it is