{"id":837161,"date":"2024-07-19T14:09:55","date_gmt":"2024-07-19T08:39:55","guid":{"rendered":"https:\/\/leverageedu.com\/discover\/?p=837161"},"modified":"2024-07-19T14:09:55","modified_gmt":"2024-07-19T08:39:55","slug":"exam-prep-properties-of-isosceles-triangle","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-properties-of-isosceles-triangle\/","title":{"rendered":"Properties of Isosceles Triangle"},"content":{"rendered":"\n

An isosceles triangle is a polygon that has two equal sides, two equal angles, three edges, three vertices, and the addition of internal angles of a triangle up to 180 degrees. Basically, an isosceles triangle is a triangle that has two equal-length sides. Other than that, the third side of the triangle is unequal to the other two sides, it is called the base of the isosceles triangle. To know more about the properties of an isosceles triangle, you can read this article, till the end.<\/p>\n\n\n\n\n\n\n

Definition of isosceles Triangle<\/h2>\n\n\n\n

An isosceles can be stated as a triangle that has two equal sides. Also, the two angles opposite at two equal sides are equal. Also, an isosceles triangle has two congruent sides. For example, if there is an isosceles triangle, whose angle B is equal to angle C. The theorem that defines an isosceles triangle is \u201cif the two sides of a triangle are congruent, then the angle opposite to them are also congruent\u201d. <\/p>\n\n\n

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Also Read: <\/strong>Area Of Isosceles Triangle with Solved Examples<\/strong><\/a><\/p>\n\n\n\n

Different Angles of Isosceles Triangle<\/h2>\n\n\n\n

The two sides out of the three of an isosceles triangle are equal when measured, which are opposite to the equal sides. Therefore, the remaining angle is unequal. Take an example, if the measure of an unequal angle is provided, then the other two angles can be easily found by using the angle sum property.<\/p>\n\n\n\n

Acute Isosceles Triangle<\/strong>: In an acute isosceles triangle, the vertex angle is the smallest angle and is less than 90 degrees. The two base angles are congruent and each is greater than 90 degrees divided by two.<\/p>\n\n\n\n

Right Isosceles Triangle: <\/strong>A right isosceles triangle is a special case where the vertex angle is exactly 90 degrees. This makes the two base angles congruent and each equal to 45 degrees. Right isosceles triangles are also squares.<\/p>\n\n\n\n

Obtuse Isosceles Triangle: <\/strong>In an obtuse isosceles triangle, the vertex angle is the largest angle and is greater than 90 degrees. The two base angles are congruent and each is less than 90 degrees divided by two.<\/p>\n\n\n\n

What are the Properties of the Isosceles Triangle?<\/h2>\n\n\n\n

There are different properties of the isosceles triangle, some of which are stated in the given section of the article. Have a look at the given data.<\/p>\n\n\n\n