Calculate triangle

In the triangle ABC, calculate the sizes of all heights, angles, perimeters and its area, if given a-40cm, b-57cm, c-59cm

Correct answer:

o =  156 cm
S =  1087.4907 cm2
v1 =  54.3745 cm
v2 =  38.1576 cm
v3 =  36.8641 cm
A =  40.2961 °
B =  67.1615 °
C =  72.5424 °

Step-by-step explanation:

a=40 cm b=57 cm c=59 cm  o=a+b+c=40+57+59=156 cm
s=o/2=156/2=78 cm  S=s (sa) (sb) (sc)=78 (7840) (7857) (7859)=114 91=1087.4907 cm2
S=a v12  v1=2 S/a=2 1087.4907/40=54.3745 cm
v2=2 S/b=2 1087.4907/57=4 91=38.1576 cm
v3=2 S/c=2 1087.4907/59=36.8641 cm
sinA=v3:b=36.8641:570.6467 A=180πarcsin(v3/b)=180πarcsin(36.8641/57)=40.2961=401746"
sinB=v3:a=36.8641:400.9216 B=180πarcsin(v3/a)=180πarcsin(36.8641/40)=67.1615=67941"
C=180AB=18040.296167.1615=72.5424=723233"

Try calculation via our triangle calculator.




We will be pleased if You send us any improvements to this math problem. Thank you!






avatar




Tips to related online calculators
See also our right triangle calculator.
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.

 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions:

  • Area and two angles
    trig Calculate the size of all sides and internal angles of a triangle ABC, if it is given by area S = 501.9; and two internal angles α = 15°28' and β = 45°.
  • 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).
  • Triangle SAS
    triangle_iron Calculate the triangle area and perimeter, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.
  • Triangle and its heights
    triangle Calculate the length of the sides of the triangle ABC, if va=5 cm, vb=7 cm and side b is 5 cm shorter than side a.
  • Right triangle
    right_triangles Calculate the missing side b and interior angles, perimeter, and area of ​​a right triangle if a=10 cm and hypotenuse c = 16 cm.
  • Inner angles
    triangle The inner angles of the triangle are 30°, 45° and 105° and its longest side is 10 cm. Calculate the length of the shortest side, write the result in cm up to two decimal places.
  • Find the area
    triangles Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 50°, b = 30 ft, c = 14 ft
  • Triangle from median
    triangles Calculate the perimeter, content, and magnitudes of the triangle ABC's remaining angles, given: a = 8.4; β = 105° 35 '; and median ta = 12.5.
  • Largest angle of the triangle
    obtuse_triangle Calculate the largest angle of the triangle whose sides have the sizes: 2a, 3/2a, 3a
  • Triangle ABC v2
    triangles Area of the triangle is 12 cm square. Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x.
  • Sss triangle
    8_11 Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm
  • Triangle's centroid
    triangles In the triangle ABC the given lengths of its medians tc = 9, ta = 6. Let T be the intersection of the medians (triangle's centroid) and point is S the center of the side BC. The magnitude of the CTS angle is 60°. Calculate the length of the BC side to 2 d
  • ABCD
    trig AC= 40cm , angle DAB=38 , angle DCB=58 , angle DBC=90 , DB is perpendicular on AC , find BD and AD
  • Two groves
    hajovna Two groves A, B are separated by a forest, both are visible from the hunting grove C, which is connected to both by direct roads. What will be the length of the projected road from A to B, if AC = 5004 m, BC = 2600 m and angle ABC = 53° 45 ’?
  • Children playground
    lich The playground has a trapezoid shape, and the parallel sides have a length of 36 m and 21 m. The remaining two sides are 14 m long and 16 m long. Find the size of the inner trapezoid angles.
  • Two triangles SSA
    ssa Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 59°, a = 13, b = 14
  • Triangle
    star Calculate the area of ​​the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius).