Answer: The sides length are 8.32 cm
Step-by-step explanation:
An equilateral triangle has all his sides of the same lenght, so we assume that the triangle has an L lenght in his sides.
The area of a triangle is 
where the base is L, the Area is 30 and an unknown height.
To determine the height, we cut the triangle in half and take one side. By simetry, one side has a base of 
, a hypotenuse of L and a the unknown height.
Then we apply the <em>Pythagoras theorem</em>, this states that <em>in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides</em>, or, 
Where one c is and the other is the height.
Then we find one of the c of the equation wich will be the height.
Finally, we use the triangle area mentioned before an find the value of L.
Yes, HL would be correct.
This states that if two hypotenuses are congruent (they have the same one)
and if one pair of legs are congruent,
the figure is congruent.
I hope this helps!
~cupcake
ANSWER
EXPLANATION
From the table,
There is a constant difference of
The sequence is therefore an arithmetic progression.
The general formula for the arithmetic progression is
We substitute the values into the formula to obtain,
We expand the bracket to obtain,
This simplifies to
I think what you meant was
(2x - 5)² = 11 -- (1)
Square root both sides of (1), i.e.
√(2x - 5)² = ± √11 -- (2)
From (2), we have
2x - 5 = ± √11 -- (3)
By adding 5 to both sides in (3), we have
2x = 5 ± √11 -- (4)
Divide both sides of (4) by 2, and we obtain
x = (5 ± √11)/2 -- (5)
From (5), the solution set of (1) is
x = (5 + √11)/2, (5 - √11)/2 ...Ans.
