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Look also at our friend's collection of math problems and questions: What can be the area of a right isosceles triangle with a side length of 8 cm? The base is 2 cm longer than the shoulder. The perimeter of the isosceles triangle is 32 cm. How many isosceles triangles form in a square when we mark all diagonals in it?Ĭompute the base of an isosceles triangle, with the arm a=20 cm and a height above the base h=10 cm. What is the length of the cathetus of an isosceles right triangle with an 8 cm long? Calculation and procedure. The profile of the railway embankment has the shape of an isosceles trapezoid, where a = 16.4 m, c = 10.6 m, and b = d = 5.2 m. What are the angles of an isosceles triangle ABC if its base is long a=5 m and has an arm b=4 m? The given is an isosceles triangle with a base of 24dm and an arm of 15dm. Calculate the height of the triangle.įind the length (circumference) of an isosceles trapezoid in which the length of the bases a,c, and the height h are given: a = 8 cm c = 2 cm h = 4 cm. How long is a third side?Īn isosceles triangle with a base of 8 cm. Calculate the radius of the inscribed (r) and described (R) circle.Ĭonstruct an isosceles triangle if a given circle circumscribed with a radius r = 2.6 cm is given.Ĭalculate the area of an isosceles triangle, the base of which measures 16 cm and the arms 10 cm.Īn isosceles triangle has two sides of length 7 km and 39 km. In an isosceles triangle ABC is |AC| = |BC| = 13 and |AB| = 10.

It is not a problem to calculate an isosceles triangle, for example, from its area and perimeter ( T=12 p=16).Įxamples of calculating isosceles triangles:Īn isosceles triangle in word problems in mathematics:Ĭalculate the perimeter of the isosceles triangle with arm length 73 cm and base length of 48 cm. Our calculator provides the calculation of all parameters of the isosceles triangle if you enter two of its parameters, e.g. An isosceles triangle is a triangle that has two sides of equal length. "Isosceles Triangle.This calculator calculates any isosceles triangle specified by two of its properties. a and b are known find c, P, s, K, ha, hb, and hcįor more information on right triangles see:.Given sides a and b find side c and the perimeter, semiperimeter, area and altitudes Altitude c of Isosceles Triangle: hc = (b/2a) * √(4a 2 - b 2).

Altitude b of Isosceles Triangle: hb = (1/2) * √(4a 2 - b 2).

Altitude a of Isosceles Triangle: ha = (b/2a) * √(4a 2 - b 2).

Area of Isosceles Triangle: K = (b/4) * √(4a 2 - b 2) Each of equal sides of an isosceles triangles is 4 cm greater than its height.

Semiperimeter of Isosceles Triangle: s = (a + b + c) / 2 = a + (b/2).

Perimeter of Isosceles Triangle: P = a + b + c = 2a + b.

Altitudes of Isosceles Triangle: ha = hc.

Let us know if you have any other suggestions! Formulas and Calculations for an isosceles triangle: Once we know sides a, b, and c we can calculate the perimeter = P, the semiperimeter = s, the area = K, and the altitudes: For example, if we know a and b we know c since c = a. In our calculations for a right triangle we only consider 2 known sides to calculate the other 7 unknowns. Triangle where 2 sides, a and c, are equal and 2 angles, A and C, are equal. Calculator UseĪn isosceles triangle is a special case of a *Length units are for your reference only since the value of the resulting lengths will always be the same no matter what the units are.