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 main effect of the earth tilting is A. Heating B. Seasons C. Atmosphere D. Years
Help me plz i dont know what to do
2 Points You slide across a wooden floor in your socks. There is a normal force of 950 N acting on you, and the coefficient of kinetic friction is 0.65. What is
in literature, what is tone​
Hook's law holds good up to. A elastic limit. B. plastic limit. C.yield point. D.Breaking point​
NEED HELP IN NUMBER 12 and 13 PLEASEEEE
A lottery uses balls numbered 1 through 37. List the sample space of the event picking one even-numbered ball.
Lisa was trying to park her car. She moved her car forward at a constant velocity for 5 seconds, and then backward at a constant velocity for 10 seconds. She th
Please answer!!!! School is coming up soon!!! If you answer I will put you as “ the brainiest answer” !!!!
PLEASE HELP!!!! WILL MARK BRAINLIEST!!!!the polynomial P(x)=x^3-6x^2+6x-23 can be rewritten as P(x)=(x^2+6)(x-6)+13 . Which expression is a factor of P(x)?A. 13