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

Describe the end behavior for the graph of y=-x³- ax + 3, if a is a constant.
A group of historians are researching the Great Depression in the United States and the events that led to the stock market crash and drop in the nation’s wealt
Question 6 What role did the bile salts play in Part 3 of this exercise? How do these results correlate with where bile salts occur in the human body?
How the political and economic transformations in the world led to the creation of the silk road and how the silk road in return, affected the cosmopolitan worl
According to the concept of entropy, what will likely happen to most molecules over time?.
7. What is the ratio of the interior angles of a pentagon and a decagon?​
⊄HELP ME PLEASE, THE LINK OF THE PPT OF THE WORKSHEETS IS IN THE ATTACHMENT SO PLEASE HELP ME, IK THAT THE LINK IS LONG BUT HELP ME PLS
I sadly don't understand this! Can anybody help? Tysm!!!And?What's the answer?
If a sample of 40 cars is selected, estimate the number of cars traveling faster than 70 mph.
An exergonic reaction __________ free energy, and an endergonic reaction __________ free energy.