Calculate

Calculate the height of an isosceles triangle with base 37.8 mm long and an arm 23.1 mm long.

Correct answer:

v =  13.2816 mm

Step-by-step explanation:

$$\begin{gathered} z=37.8\text{ mm } \\ r=23.1\text{ mm } \\ {r}^2=(z\mathrm{/}2{)}^2+v^2 \\ v=\sqrt{r^2-(z\mathrm{/}2{)}^2}=\sqrt{23.1^2-(37.8\mathrm{/}2{)}^2}=13.2816\text{ mm} \end{gathered}$$

Try calculation via our triangle calculator.

Try another example

Related math problems and questions:

• Face of the house
  How tall is the gable of a house in the shape of an isosceles triangle with a base length of 8 meters and an arm 5 meters long?
• Calculate
  Calculate the height to the base of the isosceles triangle ABC if the length of the base is c = 24cm and the arms have a length b = 13cm.
• Estate
  An estate-shaped rectangular trapezoid has bases long 34 m, 63 m, and perpendicular arm 37 m. Calculate how long its fence is.
• 3sides prism
  The base of vertical prism is an isosceles triangle whose base is 10 cm and the arm is 13 cm long. Prism height is three times the height of base triangle. Calculate the surface area of the prism.
• Arm
  Calculate the length of the arm r of isosceles triangle ABC, with base |AB| = 14 cm and a height v=18 cm.
• Tent
  Calculate how many liters of air will fit in the tent that has a shield in the shape of an isosceles right triangle with legs r = 3 m long the height = 1.5 m and a side length d = 5 m.
• Isosceles + prism
  Calculate the volume of the perpendicular prism if its height is 17.5 cm and the base is an isosceles triangle with a base length of 5.8 cm and an arm length of 3.7 cm
• Rhombus 2
  Calculate the rhombus area, which has a height v=48 mm and shorter diagonal u = 60 mm long.
• Base of an isosceles triangle
  Calculate the size of the base of an isosceles triangle, the height is 5 cm and the length of the arm is 6.5 cm. What is the perimeter of this triangle?
• Cube diagonal
  Determine the length of the cube diagonal with edge 37 mm.
• Right isosceles
  Calculate area of the isosceles right triangle which perimeter is 26 cm.
• Arm and base
  The isosceles triangle has a circumference of 46 cm. Calculate its area if the arm is 5 cm longer than the base.
• IS trapezoid
  Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm.
• Base
  Compute base of an isosceles triangle, with the arm a=20 cm and a height above the base h=10 cm.
• Body diagonal
  Cuboid with base 7cm x 3,9cm and body diagonal 9cm long. Find the height of the cuboid and the length of the diagonal of the base,
• Isosceles triangle
  Calculate area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm.
• Calculate
  Calculate the length of the wall diagonal of the cube with an edge 5 cm long.