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

the sales tax in one town is 8%. so, the total cost of an item can be written as c + 0.08c. what is the total cost of an item that sells for $12?
which of these is true about the roman road system agustus had all roman roads paved with marble improving the roads helped the roman empire grow the road syste
what is 9\25 in it simplest form?
75% of what is 15 I cant figure this out iv tried a million times
What was the Catholic Church’s response to the Reformation? A. the Pre-Reformation B. the Peace of Augsburg C. the Counter-Reformation D. the Edi
Organisms can have positive or negative impacts on the ecosystem they live in. The cane toad, or Rhinella marina, was introduced to the Hawaiian Islands in 1932
Coastal areas that are near warm ocean currents are more likely to experience which of following effects?
Which best describes evolutionary theory?
what is 2xy(3x^2 +4xy-5xy^2)
Draw a model to show 35 1/3