paynteralexis4 paynteralexis4
  • 11-04-2020
  • Mathematics
contestada

Given a 30-60-90 triangle with a long
leg of 9 in, determine the length of the
hypotenuse.

Respuesta :

Hrishii
Hrishii Hrishii
  • 11-04-2020

Answer:

10.38 in

Step-by-step explanation:

Long side would be opposite to 60°.

Since, side opposite to 60° is root 3 upon 2 times of hypotenuse.

[tex]9 = \frac{ \sqrt{3} }{2} \times hypotenuse \\ \\ hypotenuse = \frac{9 \times 2}{ \sqrt{3} } \\ = \frac{18}{ \sqrt{3} } = \frac{18 \sqrt{3} }{3} = 6 \sqrt{3} = 6 \times 1.73 \\ \: \: \: \red{ \bold{hypotenuse = 10.38 \: in}}[/tex]

Answer Link

Otras preguntas

need help on attached problem
Mr Martin has 120 CDs. The ratio of indie CDs to dance CDs is 5:7. How many of each type of cd does he have
why might two individuals have different responses to the same stressor
Use Euler's Theorem to calculate how many vertices a polyhedron has if it has 6 faces and 12 edges. 8 veretices 12 vertices 18 vertices 6 vertices
Solve the equation -x + 8 + 3x = x - 6
Supporting details can do what
What is the difference between contact force and force at a distance
I need two examples of things that apply to both relative and absolute dating
What was the primary means of transportation for early humans?
The graph of the equation below is a circle what is the length of the radius of the circle (X-4)2+(y+12)2=172