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Gaurav Seth 5 years, 2 months ago
Solution:
In an equilateral triangle, the height and the median are considered to be of same length. Hence we can say that, Height of an equilateral triangle is equal to Median of the same equilateral triangle.
We know that, can be calculated as:
Here, 'a' denotes the side of an equilateral triangle.
Now we know that area of an equilateral triangle can be calculated as:
Substituting the value of 'a' we get,
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Gaurav Seth 5 years, 3 months ago
Step-by-step explanation:
Given ,
x = (5 - √21)/2
1/x = 2/(5 -√21)
=2(5 + √21)/(5 -√21)(5 + √21)
= (5 + √21)/2
hence,
x + 1/x = (5 -√21)/2 + (5+√21)/2 =5
x² + 1/x² = (x + 1/x)² -2x.1/x
= (x + 1/x)² -2
=(5)² -2
= 23
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