Isosceles triangle

In an isosceles triangle, the arm's length and the length of the base are in ratio 3 to 5. What is the length of the arm?

Correct answer:

r =  375 mm

Step-by-step explanation:


1375 = 2•r+z
r = 3/5 • z

2r+z = 1375
5r-3z = 0

r = 375
z = 625

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar




Tips to related online calculators
Check out our ratio calculator.
Do you have a system of equations and looking for calculator system of linear equations?
Do you want to convert length units?
See also our trigonometric triangle calculator.

 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

  • Isosceles triangle
    pomer_triangle The perimeter of an isosceles triangle is 112 cm. The length of the arm to the length of the base is at ratio 5:6. Find the triangle area.
  • Base of an isosceles triangle
    rr_triangle3 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?
  • Arm and base
    rr_triangle3 The isosceles triangle has a circumference of 46 cm. Calculate its area if the arm is 5 cm longer than the base.
  • Isosceles trapezoid
    lichobeznik Calculate the content of an isosceles trapezoid whose bases are at ratio 5:3, the arm is 6cm long and it is 4cm high.
  • Arm-leg
    triangles2 Calculate the length of the base of an isosceles triangle with a circumference 224 cm if the arm length is 68 cm.
  • Face of the house
    domcek 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?
  • In a
    triangles In a triangle, the aspect ratio a: c is 3: 2, and a: b is 5: 4. The perimeter of the triangle is 74cm. Calculate the lengths of the individual sides.
  • ISO triangle
    rr Calculate the area of an isosceles triangle KLM if its sides' length is in the ratio k:l:m = 4:4:3 and has perimeter 377 mm.
  • Triangles
    green_triangle Equilateral triangle with side 40 cm has the same perimeter as an isosceles triangle with arm of 45 cm. Calculate the base x of an isosceles triangle.
  • Arm
    arm Calculate the length of the arm r of isosceles triangle ABC, with base |AB| = 14 cm and a height v=18 cm.
  • Isosceles + prism
    rr_triangle3 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
  • 3sides prism
    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.
  • Isosceles triangle
    rr_triangle3 The circumference of the isosceles triangle is 32.5 dm. Base length is 153 cm. How long is the leg of this triangle?
  • Right isosceles
    right_isosceles_triangle Calculate area of the isosceles right triangle which perimeter is 26 cm.
  • Ratio of sides
    trojuholnik The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6: 5: 3. Find the length of the longest side of the triangle in cm.
  • Isosceles right triangle
    IsoscelesRightTriangle Area of an isosceles right triangle is 18 dm2. Calculate the length of its base.
  • Calculate
    rr_triangle3 Calculate the height of an isosceles triangle with base 37.8 mm long and an arm 23.1 mm long.