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

If there is Is large amount of lactose present, how does bacteria respond? A. the gene for beta-galactosidase turns on. B. the gene for beta-galactosidase t
solve for z 36 − z = -45
A taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile traveled. The rule mc013-1.jpg describ
Up to _______ percent of body heat can be lost through the head. A. 25 B. 30 C. 50 D. 75 NOT D.
Higher consumer prices are likely to be accompanied by
Which stores groundwater?
the line passing threw (- 1,y) and (1,0) is perpendicular to the lines joining ( 2,3) and (-2,1) find y
Which circle has a central angle that measures 40°?
What is the relationship between area, force, and pressure? what is the relationship between area, force, and pressure? pressure is inversely proportional to fo
simplify sqrt 244x + sqrt 36x - sqrt 25x