Scalene triangle

Solve the triangle:

A = 50°, b = 13, c = 6

Result

a =  10.23

Solution:

a=132+62−2⋅ 13⋅ 6⋅ cos⁡(50∘→rad)=132+62−2⋅ 13⋅ 6⋅ cos⁡(50∘⋅ π180 )=132+62−2⋅ 13⋅ 6⋅ cos⁡(50∘⋅ 3.1415926180 )=0=10.23a=\sqrt{ 13^{ 2 }+6^{ 2 }-2 \cdot \ 13 \cdot \ 6 \cdot \ \cos( 50 ^\circ \rightarrow rad) } = \sqrt{ 13^{ 2 }+6^{ 2 }-2 \cdot \ 13 \cdot \ 6 \cdot \ \cos( 50 ^\circ \cdot \ \dfrac{ \pi }{ 180 } \ ) } = \sqrt{ 13^{ 2 }+6^{ 2 }-2 \cdot \ 13 \cdot \ 6 \cdot \ \cos( 50 ^\circ \cdot \ \dfrac{ 3.1415926 }{ 180 } \ ) } = 0 = 10.23

Try calculation via our triangle calculator.


Try another example


Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Do you want to convert length units?
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Side c
    trig-cos-law In △ABC a=2, b=4 and ∠C=100°. Calculate length of the side c.
  2. ABCD
    trig_1 AC= 40cm , angle DAB=38 , angle DCB=58 , angle DBC=90 , DB is perpendicular on AC , find BD and AD
  3. Diagonals in diamond
    diagonalsf In the rhombus is given a = 160 cm, alpha = 60 degrees. Calculate the length of the diagonals.
  4. Diagonals
    diagonals Calculate the length of the diagonals of the rhombus if its side is long 5 and one of its internal angle is 80°.
  5. Trapezium ABCD
    lichobeznik_5 In the figure, ABDC is a trapezium in which AB || CD. line segments RN and LM are drawn parallel to AB such that AJ=JK=KP. If AB=0.5m and AP=BQ=1.8m, find the lengths of AC, BD, RN and LM. angle D=angle C=60
  6. Greatest angle
    triangles_4 Calculate the greatest triangle angle with sides 197, 208, 299.
  7. Angles by cosine law
    357_triangle Calculate the size of the angles of the triangle ABC, if it is given by: a = 3 cm; b = 5 cm; c = 7 cm (use the sine and cosine theorem).
  8. Four sides of trapezoid
    lichobeznik-stredni_pricka_3 In the trapezoid ABCD is |AB| = 73.6 mm; |BC| = 57 mm; |CD| = 60 mm; |AD| = 58.6 mm. Calculate the size of its interior angles.
  9. The pond
    rybnik_3 We can see the pond at an angle 65°37'. Its end points are 155 m and 177 m away from the observer. What is the width of the pond?
  10. Angles
    triangle_1111_1 In the triangle ABC, the ratio of angles is: a:b = 4: 5. The angle c is 36°. How big are the angles a, b?
  11. Clock face
    center_angle clock face is given. Numbers 10 and 5, and 3 and 8 are connected by straight lines. Calculate the size of their angles.
  12. Bisectors
    right_triangle As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6. Find the perimeter of triangle △ BDE.
  13. Vector sum
    vectors The magnitude of the vector u is 12 and the magnitude of the vector v is 8. Angle between vectors is 61°. What is the magnitude of the vector u + v?
  14. Laws
    pyt_triangle From which law follows directly the validity of Pythagoras' theorem in the right triangle? ?
  15. Scalar dot product
    dot_product Calculate u.v if |u| = 5, |v| = 2 and when angle between the vectors u, v is: a) 60° b) 45° c) 120°
  16. Reference angle
    anglemeter Find the reference angle of each angle:
  17. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?