Question

In the figure, drawn at the right $AB=BC,AC=AE,CE=AE,AF=EF,\angle ABC={90}^{\circ },\angle CDE={90}^{\circ }$
Name the triangles that are:
(i) isosceles (ii) equilateral
(iii) right angled (iv) right angled and isosceles

Answer 1

(i) An isosceles triangle is a type of triangle that has any two sides equal in length.

Isosceles triangles: $\Delta AFE,\Delta ABC$

(ii) an equilateral triangle is a triangle that has all its sides equal in length.

equilateral triangle : $\Delta AEC$

(iii) A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle

right-angled triangle : $\Delta EDC,\Delta ABC$

(iv) An Isosceles Right Triangle is a right triangle that consists of two equal length legs.

Isosceles Right Triangle : $\Delta ABC$