Perimeter of an equilateral triangle is 24 cm. Find its area. please give me answer and explain me in copy who give me correct answer I will mark brainliest
Answers
Answer:
27.7 sq.cm
Step-by-step explanation:
The Perimeter of an Equilateral Triangle is 24 cm.
Hence, the value of one side, is 24/3 = 8 cm.
Area of an Equilateral Triangle is:- (√3a^2)
-----------
4
in this case, value of a is 8, a = side.
√3 * 8^2
---------------
4
√3 * 64
------------
4
√3 * 16
Which is approximately equal to 27.7 sq.cm
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SuperLewy2209
Perimeter of ∆ = 24 cm.
Side of ∆ = 24 ÷ 3
= 8 cm.
Two find the height of ∆ we will use Pythagorean theorem.
.°. ( 4 )² + ( x )² = ( 8 )² cm
16 + x² = 64
x² = 64 - 16
x² = 48
= 6.93
.°. Height is 6.93 cm.
Area of ∆ = ½ × b × h
= ½ × 8 × 6.93
= 4 × 6.93
= 27.72 cm².
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