Medians in triangle

Median of isosceles triangle has a length 3 cm. Determine the length of its sides if its perimeter is 16 cm.

Correct answer:

a =  5 cm
b =  5 cm
c =  6 cm
a₂ =  6 cm
b₂ =  6 cm
c₂ =  4 cm

Step-by-step explanation:

$$\begin{gathered} p=3\text{ cm } \\ o=16\text{ cm } \\ c=2\cdot p=2\cdot 3=6\text{ cm } \\ a=(o-c)\mathrm{/}2=(16-6)\mathrm{/}2=5\text{ cm} \end{gathered}$$

$b=a=5=5\text{ cm}$

$a_2=2\cdot 3=6\text{ cm}$

$b_2=a_2=6=6\text{ cm}$

$c_2=o-(a_2+b_2)=16-(6+6)=4\text{ cm}$

Try calculation via our triangle calculator.

Try another example

Related math problems and questions:

• IS trapezoid
  Isosceles trapezoid arm measured 35 cm. Height is 30 cm and middle segment is 65 cm. Determine length of its bases.
• Isosceles trapezoid
  Find the area of an isosceles trapezoid, if the bases are 12 cm and 20 cm, the length of the arm is 16 cm
• Draw a trapezoid
  Draw a trapezoid if given a = 7 cm, b = 4 cm, c = 3.5 cm, diagonal AC = 5cm. Solve as a construction task.
• Rectangular trapezoid
  The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the circumference and area of a trapezoid.
• Area of iso-trap
  Find the area of an isosceles trapezoid if the lengths of its bases are 16 cm and 30 cm, and the diagonals are perpendicular to each other.
• 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.
• Trapezoid MO-5-Z8
  ABCD is a trapezoid that lime segment CE is divided into a triangle and parallelogram, as shown. Point F is the midpoint of CE, DF line passes through the center of the segment BE, and the area of the triangle CDE is 3 cm². Determine the area of the trape
• Isosceles trapezoid
  Calculate the circumference and the contents of the isosceles trapezoid if you know the size of the bases is 8 and 12 cm and the size of the arms is 5 cm.
• Medians in right triangle
  It is given a right triangle, angle C is 90 degrees. I know it medians t1 = 8 cm and median t2 = 12 cm. .. How to calculate the length of the sides?
• Quadrilateral eq3
  Three sides of a quadrilateral are equal to the foreside which is 16 cm long. What is the length of the one with equal sides if the perimeter is 58 cm?
• Isosceles trapezoid
  Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 12 cm, height v = 16 cm and |CAB| = 20°. Calculate area of the trapezoid.
• Medians of isosceles triangle
  The isosceles triangle has a base ABC |AB| = 16 cm and 10 cm long arm. What is the length of medians?
• MO Z8–I–6 2018
  In the KLMN trapeze, KL has a 40 cm base and an MN of 16 cm. Point P lies on the KL line so that the NP segment divides the trapezoid into two parts with the same area. Find the length of the KP line.
• Isosceles trapezoid
  The lengths of the bases of the isosceles trapezoid are in the ratio 5:3, the arms have a length of 5 cm and height = 4.8 cm. Calculate the circumference and area of a trapezoid.
• Isosceles III
  The base of the isosceles triangle is 17 cm area 416 cm². Calculate the perimeter of this triangle.
• Construction of trapezoid
  Construct a trapezoid if b = 4cm, c = 7cm, d = 4,5cm, v = 3 cm (Procedure, discussion, sketch, analysis, construction)
• Isosceles trapezoid
  Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm.