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

PLS HELP ME WITH MY ENGLISH QUESTOIN!!!!!!!!!!!!! part a part b
Do you need to get permission to cite a song title
Fisher Auto Parts is running a 45% clearance sale on batteries. One battery cost $149.99. If the consumer purchases 2 batteries. What would be the final cost?
What is the new period if the pendulum is taken to a planet that has 4 times the mass and 4 times the radius of earth
What is the equation for finding the amount of inertia in forces and motion? Explain how you solve that equation.​
In exercises, 4 and 5, find the unknown or marked angles. ​
¿Que es la Flora y Fauna?​
How do you think a human egg is similar to a chicken egg? How are they different ?
explain the role of IFRS Interpretations committee .​
The magnetic field inside a long ideal solenoid is independent of: