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

what communities brought about the rise of the first politicians?A. anthropological B. neolithic C. hominids D. geologists
Inverse cosine of square root of 3 over 2? cos-1(square root of 3/2)
Which of the following authors wrote in the same genre? Anne Bradstreet William Bradford Olaudah Equiano Thomas Jefferson
How much bigger are eukaryotic cells than prokaryotic cells?
[Image: 1 apple, 3 oranges for each of 5 steps on the slider] Explore equivalent ratios by using the slider. Complete the sentences below. For every 4 apples,
How does the igneous rock become sedimentary rock? Explain the process.
What were the main points of the Declaration of the Rights of Man?
Which is the best example of a secondary source document useful in the study of history?
1. . Which of the following sentences uses capitalization CORRECTLY? (1 point). . You can find the complete list of Senators online.. Have you ever
Karl Marx wrote in The Communist Manifesto that the history of man had been defined by what? class struggle economic inequality natural sel