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?

Correct answer:

t₁ =  6 cm
t₂ =  12.3693 cm
t₃ =  12.3693 cm

Step-by-step explanation:

$t_1=\sqrt{10^2-8^2}=6\text{ cm}$

Try calculation via our triangle calculator.

$t_2=\sqrt{16^2+5^2-2\cdot 16\cdot 5\cdot \cos (\arcsin (6\mathrm{/}10))}=12.3693\text{ cm}$

$t_3=t_2=12.3693\text{ cm}$

Try another example

Related math problems and questions:

• Isosceles triangle
  What are the angles of an isosceles triangle ABC if its base is long a=5 m and has an arm b=4 m.
• Isosceles triangle
  Calculate the size of the interior angles and the length of the base of the isosceles triangle if the length of the arm is 17 cm and the height to the base is 12 cm.
• Angles by cosine law
  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).
• Right triangle
  Calculate the missing side b and interior angles, perimeter, and area of ​​a right triangle if a=10 cm and hypotenuse c = 16 cm.
• Center of gravity
  In the isosceles triangle ABC is the ratio of the lengths of AB and the height to AB 10:12. The arm has a length of 26 cm. If the center of gravity T of triangle ABC find area of triangle ABT.
• Triangle and its heights
  Calculate the length of the sides of the triangle ABC, if v_a=5 cm, v_b=7 cm and side b is 5 cm shorter than side a.
• Isosceles triangle
  Calculate the area of an isosceles triangle, the base of which measures 16 cm and the arms 10 cm.
• Triangle SAS
  Calculate the triangle area and perimeter, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.
• Right triangle trigonometrics
  Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60° and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent)
• IS triangle
  Calculate interior angles of the isosceles triangle with base 40 cm and legs 22 cm long.
• Arm
  Calculate the length of the arm r of isosceles triangle ABC, with base |AB| = 14 cm and a height v=18 cm.
• Isosceles - isosceles
  It is given a triangle ABC with sides /AB/ = 3 cm /BC/ = 10 cm, and the angle ABC = 120°. Draw all points X such that true that BCX triangle is an isosceles and triangle ABX is isosceles with the base AB.
• Triangle's centroid
  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
• A rhombus
  A rhombus has sides of length 10 cm, and the angle between two adjacent sides is 76 degrees. Find the length of the longer diagonal of the rhombus.
• Children playground
  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.
• 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.
• 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