Sss triangle

Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm

Correct answer:

S =  42.7895 cm2
h1 =  10.6974 cm
h2 =  7.7799 cm
h3 =  7.1316 cm

Step-by-step explanation:

a=8 cm b=11 cm c=12 cm  s=(a+b+c)/2=(8+11+12)/2=312=15.5 cm S=s (sa) (sb) (sc)=15.5 (15.58) (15.511) (15.512)=42.7895 cm2
S=a h12 h1=2 S/a=2 42.7895/8=10.6974 cm
h2=2 S/b=2 42.7895/11=7.7799 cm
h3=2 S/c=2 42.7895/12=7.1316 cm

Try calculation via our triangle calculator.




Did you find an error or inaccuracy? Feel free to write us. Thank you!






avatar




Tips to related online calculators
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:

  • Calculate triangle
    triangle_vysky In the triangle ABC, calculate the sizes of all heights, angles, perimeters and its area, if given a-40cm, b-57cm, c-59cm
  • Triangle ABC
    triangles Calculate the sides of triangle ABC with area 1404 cm2 and if a: b: c = 12:7:18
  • Triangle
    trangle_nice Calculate heights of the triangle ABC if sides of the triangle are a=82, b=44, and c=53.
  • Triangle SSS
    triangle_ABC Calculate perimeter and area of ​​a triangle ABC, if a=53, b=46 and c=40.
  • Trapezoid
    trapezoid Calculate the area of trapezoid ABCD with sides |AD|= 68 cm, |DC|=35 cm, |CB|=12 cm, |AB|=35 cm..
  • Circles 2
    zlozite_kruznice Calculate the area bounded by the circumscribed and inscribed circle in triangle with sides 12 cm, 14 cm, 18 cm.
  • 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.
  • Sides ratio
    triangle3 Calculate the circumference of a triangle with area 84 cm2 if a:b:c = 10:17:21
  • Heron backlaw
    heron_math Calculate missing side in a triangle with sides 17 and 34 and area 275.
  • Squares above sides
    pataVysky Two squares are constructed on two sides of the ABC triangle. The square area above the BC side is 25 cm2. The height vc to the side AB is 3 cm long. The heel P of height vc divides the AB side in a 2: 1 ratio. The AC side is longer than the BC side. Calc
  • Sides of the triangle
    herons Calculate triangle sides where its area is S = 84 cm2 and a = x, b = x + 1, xc = x + 2
  • The right triangle
    rt_tr540 The right triangle ABC has a leg a = 36 cm and an area S = 540 cm2. Calculate the length of the leg b and the median t2 to side b.
  • Isosceles triangle
    triangles Calculate area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm.
  • The sides
    rectangles The sides of the rectangle are in a ratio of 3: 5 and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals
  • Four sides of trapezoid
    lichobeznik Calculate the area of the ABCD trapezoid with sides a = 65 cm, b = 29 cm, c = 40 cm, d = 36 cm
  • The triangle
    rr_triangle2 The triangle has sides 5 cm long, 5 cm, 8 cm long. What is the area of the triangle?
  • 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.