Here is a list of a few points that should be remembered while studying the perimeter of an isosceles triangle: Important Notes on Perimeter of Isosceles Triangle It should be noted that the two congruent angles in the isosceles right triangle measure 45° each. When the hypotenuse is given: Referring to the explanation given above, if the hypotenuse (h) is given, then the perimeter of an isosceles right triangle will be (P) = h + 2(h/√2) = h + √2h = h(1 + √2).When the length of the equal side is given: Referring to the explanation given above, if the length (l) is given, then the perimeter of an isosceles right triangle will be (P) = 2l + (√2)l = (2 + √2)l.These values can be substituted with each other if one of them is not known. This means h = √2 × l, which can also be written as: l = h/√2. If we apply the Pythagoras theorem in the figure, we get h = √(l 2+ l 2) = √2 × l. Now, let us find the perimeter of an isosceles right triangle in 2 different scenarios given below. ![]() Observe the following figure to understand the dimensions and the formula of an isosceles right triangle.Īs given in the figure, the perimeter of an isosceles right triangle is P = h + 2l. If the length of the hypotenuse is 'h' units and the lengths of the other two sides are 'l', then the perimeter of an isosceles right triangle would be: Perimeter of isosceles right triangle = h + l + l. ![]() Since it is a right-angled triangle, one of its sides is the hypotenuse and the other two sides are equal. The perimeter of an isosceles right-angled triangle can be found by adding the length of all its three sides.
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