Question

18. Case study !!
A beehive is an enclosed cell structure in which some honeybee species of the subgenus Apis live
and raise their young. Fach cell is in the form of hexagonal shape.
In a regular hexagon, there are six edges of equal lengths. Taking as centre and join all the
vertices from the centre.
Similarity of Triangle
Two triangles are said to be similar, if their all corresponding angles are equal and all
corresponding sides are proportional.
(A) Find the number of equilateral triangles in the given figure.
6
(iv) 8
(b) il area of two triangles are equal, then it is always
Similar any Congruent in both similar and congruent (iv) None
(c) How many triangles are similar the given figure?
3
(iv) 0
(d) Which similarity property is used for making above similar triangles?
SSS (ii) AA (iii) SAS (iv) ASA
(e) Find the area of the hexagon, if each edge is 'a' unit.
273 a?
(in) 3V22
(H) x3 ve​

Answer 1

Answer:

Step-by-step explanation:

Two triangles are said to be similar, if their all corresponding angles are equal and all  corresponding sides are proportional. Its a regular hexagon.  

(A) Find the number of equilateral triangles in the given figure.

= Regular hexagon has six equal edges.

So equilateral triangles is 6

(b)  if  area of two triangles are equal, then it is always

= It is always congruent.

(c) How many triangles are similar the given figure?

= 6 triangles

(d) Which similarity property is used for making above similar triangles?

= sss

(e) Find the area of the hexagon, if each edge is 'a' unit.

= 3√3 a² /2