Triangle ABC

Calculate the sides of triangle ABC with area 1404 cm² and if a: b: c = 12:7:18

Correct answer:

a =  87.69 cm
b =  51.15 cm
c =  131.53 cm

Step-by-step explanation:

$$\begin{gathered} {s}_1={\displaystyle \frac{12+7+18}{2}}=18.5cm \\ {S}_1=\sqrt{s_1(s_1-12)(s_1-7)(s_1-18)}=26.295c{m}^2 \\ k=\sqrt{{\displaystyle \frac{1404}{S_1}}}=7.307 \\ a=12k=87.69\text{ cm} \end{gathered}$$

$b=7k=51.15\text{ cm}$

$c=18k=131.53\text{ cm}$

Try calculation via our triangle calculator.

Try another example

Related math problems and questions:

• Circles 2
  Calculate the area bounded by the circumscribed and inscribed circle in triangle with sides 12 cm, 14 cm, 18 cm.
• Sss triangle
  Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm
• Rotation
  The right triangle with legs 11 cm and 18 cm rotate around the longer leg. Calculate the volume and surface area of the formed cone.
• Medians
  Calculate the sides of a right triangle if the length of the medians to the legs are t_a = 21 cm and t_b=12 cm.
• Arm
  Calculate the length of the arm r of isosceles triangle ABC, with base |AB| = 14 cm and a height v=18 cm.
• Trapezoid
  Calculate the area of trapezoid ABCD with sides |AD|= 68 cm, |DC|=35 cm, |CB|=12 cm, |AB|=35 cm..
• Sides od triangle
  Sides of the triangle ABC has length 4 cm, 5 cm and 7 cm. Construct triangle A'B'C' that are similar to triangle ABC which has a circumference of 12 cm.
• Total area
  Calculate the total area (surface and bases) of a prism whose base is a rhombus which diagonals of 12cm and 18cm and prism height is 10 cm.
• Parallelogram
  Calculate area of the parallelogram ABCD as shown if |AB| = 19 cm, |BC| = 18 cm and angle BAD = 90°
• Similar triangles
  Triangle A'B'C 'is similar to triangle ABC, whose sides are 5 cm, 8 cm, and 7 cm long. What is the length of the sides of the triangle A'B'C' if its circumference is 80 cm?
• Diagonals
  Given a rhombus ABCD with a diagonalsl length of 8 cm and 12 cm. Calculate the side length and content of the rhombus.
• Diagonal
  Calculate the diagonal length of the rectangle ABCD with sides a = 8 cm, b = 7 cm.
• Present
  Gift box has a rectangular shape with dimensions of 8×8×3 cm. Miloslav wants to cover with square paper with sides of 18 cm. How much paper left him?
• Rhombus ABCD
  Rhombus ABCD, |AC| = 90 cm, |BD| = 49 cm. Calculate the perimeter of the rhombus ABCD.
• Right triangle
  Legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
• Right triangle
  Calculate the length of the remaining two sides and the angles in the rectangular triangle ABC if a = 10 cm, angle alpha = 18°40'.
• Rectangle
  The length of the rectangle is 12 cm greater than 3 times its width. What dimensions and area this rectangle has if ts circumference is 104 cm.