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  1. 7th
  2. Maths
  3. The Triangle and Its Properties
  4. Isosceles and Equilateral Triangles

Isosceles and Equilateral Triangles

The Triangle and Its Properties
Maths
Class 7

Overview

Show that in an equilateral triangle, all the angles are equal. Show that in an isosceles triangle, the angles opposite to the equal sides are equal. Use these properties to find unknown angles in diagrams.

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Related Questions to study

Read the following statement: 
An equilateral triangle is a polygon made up of three line segments out of which two line segments are equal to the third one and all its angles are each. 
Define the terms used in this definition which you feel necessary. Are there any undefined terms in this? Can you justify that all sides and all angles are equal in a equilateral triangle? 

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Triangles and are  isosceles triangles, is a straight line. Find the value of

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In the following diagram , ABCD is a square and APB is an equilateral triangle  
Find the angles of

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If two vertices of an equilateral triangle have integral coordinates, then the third vertex will have: 

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In an isosceles triangle with base a and a lateral side b the vertex angle is equal to . Prove that .

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Draw a right triangle and the perpendicular from the midpoint of the hypotenuse to the base.
i) Prove that this perpendicular side of the large triangle.
ii) Prove that in the large triangle, the distances from the midpoint of the hypotenuse to all the vertices are equal.
iii)Prove that the circumcentre of a right triangle is the midpoints of its hypotenuse.

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is equilateral Incircle of touches sides at respectively.A line through and meets cicumcircle of at and . ( is nearer to ) then the value of equals

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The height of an equilateral triangle is

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Triangles in which all the three sides are of equal length are called ............triangle.

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If , Show that .

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