Isosceles right triangle

Area of an isosceles right triangle is 18 dm². Calculate the length of its base.

Correct answer:

c =  8.4853 dm

Step-by-step explanation:

$$\begin{gathered} S=18{\text{dm}}^2 \\ S=ab\mathrm{/}2 \\ a=b \\ a=\sqrt{2\cdot S}=\sqrt{2\cdot 18}=6\text{ dm } \\ b=a=6\text{ dm } \\ c=\sqrt{a^2+b^2}=\sqrt{6^2+6^2}=6\sqrt{2}=8.4853\text{ dm} \end{gathered}$$

Try calculation via our triangle calculator.

Try another example

Related math problems and questions:

• Square
  Calculate the area of the square shape of the isosceles triangle with the arms 50m and the base 60m. How many tiles are used to pave the square if the area of one tile is 25 dm²?
• 3rd dimension
  The block has a surface of 42 dm² and its dimensions are 3 dm and 2 dm. What is the third dimension?
• Isosceles triangle
  The leg of the isosceles triangle is 5 dm, its height is 20 cm longer than the base. Calculate base length z.
• Cylinder
  The cylinder surface is 922 dm². Its height is equal to the radius of the base. Calculate the height of this cylinder.
• Prism
  Calculate the height of the prism having a surface area 448.88 dm² wherein the base is square with a side of 6.2 dm. What will be its volume in hectoliters?
• Cylinder height
  Calculate the height of the cylinder and its surface is 2500 dm² and the bases have a diameter 5dm.
• Quadrangular pyramid
  Calculate the surface area and volume of a regular quadrangular pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6cm angle α = 60 ° (Angle α is the angle between the sidewall and the base plane.) S =? , V =?
• Quadrilateral pyramid
  The regular quadrilateral pyramid has a base edge a = 1.56 dm and a height h = 2.05 dm. Calculate: a) the deviation angle of the sidewall plane from the base plane b) deviation angle of the side edge from the plane of the base
• Right isosceles
  Calculate area of the isosceles right triangle which perimeter is 26 cm.
• Edge of prism
  The regular quadrilateral prism has a surface of 250 dm², its shell has a content of 200 dm². Calculate its leading edge.
• Isosceles right triangle
  Calculate the area of an isosceles right triangle whose perimeter is 252 cm.
• The volume
  The volume of the cone is 94.2dm³, the radius of the base is 6 dm Calculate the surface of the cone.
• Isosceles
  Isosceles trapezium ABCD ABC = 12 angle ABC = 40 ° b=6. Calculate the circumference and area.
• Prism
  The volume of tetrahedral prism is 2.43 m³. Base of prism is a parallelogram in which a side 2,5dm and height ha = 18cm. Calculate the height of the prism.
• Trapezoid ABCD v2
  Trapezoid ABCD has a length of bases in ratio 3:10. The area of triangle ACD is 825 dm². What is the area of trapezoid ABCD?
• Isosceles triangle
  Calculate area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm.
• Isosceles triangle 10
  In an isosceles triangle, the equal sides are 2/3 of the length of the base. Determine the measure of the base angles.