- 7th
- Maths
- The Triangle and Its Properties
- Isosceles and Equilateral Triangles

The Triangle and Its Properties

Maths

Class 7

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.

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 $60_{0}$ 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?

View Answer

View Answer

Find the angles of $ΔDPC$

View Answer

View Answer

View Answer

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.

View Answer

View Answer

View Answer

View Answer

View Answer

VIEW MORE

20,000+

Learning videos

8,000+

Fun stories

10,000+

Fundamental concepts

8,00,000+

Homework Questions

SignUp for free