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

El jugador _________________ en muchos partidos de fútbol. has participando ha participado has participado es participado
Raphael is twice as old as his sister. The sum of their ages is less than 30. What is the greatest age Raphael sister can be? A. 20 years old B. 15 years old C.
int saving up to buy a new baseball glove every month he puts $10 into a jar which type of function best models the total amount of money in the dryer after a g
which parent function is f(x)=x^2
what was the indian removal act
of the elements fe, hg, u, Te, and y which is considered A group A element? A. Fe B. Hg C. Te D. Y
The estimate of a bookcase was 78.25in .The actual measurement was 75.50in. To the nearest tenth of a percent ,what was the percent error in the estimate.
The flow of air from land to a body of water is called an
In what cycle can rock change from igneous ,to sedimentary ,and to metamorphic rock
Can someone explain how to solve the system of equation x+y=3 by graphing?