billiestyles billiestyles
  • 03-08-2020
  • Mathematics
contestada

Find the angle θ between the two sides of a triangle whose lengths are 5cm and 4cm , if its area is 5cm²

Respuesta :

DeanR
DeanR DeanR
  • 03-08-2020

[tex] \Delta = \frac 1 2 a b \sin C[/tex]

[tex]\Delta=5, \quad a=5, \quad b=4[/tex]

[tex]\sin C = \dfrac{2 \Delta}{ab} = \dfrac{2 (5)}{5(4) } = \dfrac 1 2[/tex]

[tex]C=30^\circ \textrm{ or } C=150^\circ[/tex]

Answer: two possibilities, θ=30° or 150°

Answer Link

Otras preguntas

Select all of the answers that apply. Which of the following are warning signs that a volcano will soon erupt? earthquakes or tremors ground swelling color chan
A point that has a positive x-coordinate and a positive y-coordinate is located in which quadrant?
What is the slope of a line that passes through (-1,-1) and (-3,-3)
Which best describes timbuktu and its importance to the mali empire?
Determine which proportion is a true statement
Answer the question above
q=2p+1\2 compare the equation with y=mx+b
Which is equal to open parentheses 2 x squared minus 5 x plus 4 close parentheses minus open parentheses 4 x squared plus 3 x minus 2 close parentheses
what was the main reason that many within the Byzantine Empire converted from Christianity to Islam? A.) religious Creeds B.)coercion C.) taxation or D.) contac
Is mechanical advantage always greater than one?