Question

Question No. 20
In the equilateral triangle ABC, AD = DE = BE, D and Elie on the AB. If each side of the AABC is 6 cm, then the area of the shaded region is
E
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Answer 1

Answer:

6√3 cm2

Step-by-step explanation:

Hope it will help you

Answer 2

Answer:

Height of Tri ABC = √3/2 × side

= √3/2 × 6

= 3√3 units

now , All the 3 smaller triangles will have equal bases that are equal to 6/3 = 2 units

as they have equal bases and have the same height as of bigger triangle ABC ,

area of the shaded triangles will be

2× [ 1/2×b×h]

= 2× [1/2×2×3√3]

= 6√3 unit sq.

That's the answer :)