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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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:
6√3 cm2
Step-by-step explanation:
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Verified answer
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 :)