![]() ![]() So in a sense you don't even need to find the legs: in an isosceles right triangle, the hypotenuse uniquely determines the legs, and vice versa. In that light we could make this even shorter by noting: Since the triangle is isosceles and right, the legs are equal ( $a=b$) and are given by $h/\sqrt 2$. The area of an isosceles triangle refers to the total space covered by the shape in 2-D. To actually further this discussion and extend to isosceles right triangles, suppose you have only the hypotenuse $h$. ![]() One of the important properties of isosceles. The angle made by the two legs is called the vertex angle. In an isosceles right triangle, two legs are of equal. ![]() As we know that the area of a triangle (A) is bh square units. The angles between the base and the legs are called base angles. Also, two congruent angles in isosceles right triangle measure 45 degrees each, and the isosceles right triangle is: Area of an Isosceles Right Triangle. Types of Triangles by Length In an equilateral triangle, all three sides are the same length. Or, it may be classified by what kind of angles it has. A triangle may be classified by how many of its sides are of equal length. If the measure of the equal angles is less than 45 each, then the apex angle will be an obtuse angle. Updated Infoplease Staff A triangle has three sides and is made of straight lines. So, in an isosceles triangle ABC where AB AC, we have B C. The congruent sides of the isosceles triangle are called the legs. The isosceles triangle theorem states that the angles opposite to the equal sides of an isosceles triangle are equal in measurement. In right triangles, the legs can be used as the height and the base. An isosceles triangle is a triangle that has at least two congruent sides. ![]() Where $a,b$ are the legs of the triangle. I solved the problem by dividing the isosceles triangle into two equal triangles to find the height which I used in the area formula for the original triangle. The angles with the base as one of their sides are called the base angles. The vertex angle is the angle between the legs. The third side of the triangle is called the base. Furthermore, the angles opposite the sides of equal length in an isosceles triangle have the same measure. An isosceles triangle is a triangle with two sides of equal length, called legs. That the question specifies this also may be indicative that your "shortcut" was the intended method (though kudos to you for finding an additional method either way!).Īs is probably obvious whenever you draw right triangles, its area can be given by An isosceles triangle is a triangle that has at least two sides of equal length. An isosceles right triangle therefore has angles of 45 degrees, 45 degrees, and 90 degrees. Since an isosceles triangle has two equal sides, its perimeter can be calculated if the base and one equal side is known. \), then \(\angle DEG\cong \angle FEG\).After the edit to the OP, yeah, as pointed out by Deepak in the comments: it is because the triangle is not just any isosceles triangle, but an isosceles right triangle. The perimeter of an isosceles triangle is calculated by adding the length of all its three sides. ![]()
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