The sides of the triangle are given as 1, x, and x².
The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.
Consider 3 cases
Case (a): x < 1,
Then in decreasing size, the lengths are 1, x, and x².
We require that x² + x ≥ 1
Solve x² + x - 1 =
x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
Reject the negative length.
Therefore, the lengths are 0.382, 0.618 and 1.
Case (b): x = 1
This creates an equilateral triangle with equal sides
The sides are 1, 1 and 1.
Case (c): x>1
In increasing order, the lengths are 1, x, and x².
We require that x + 1 ≥ x²
Solve x² - x - 1 = 0
x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
Reject the negative answr.
The lengths are 1, 1.618 and 2.618.
Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.
Answer:
she will have read 15 books in all
Step-by-step explanation:
if she has read 10 books in 2 months that means she has read 5 books each month, because 10 ÷ 2 = 5.
so if another month passes by that means she reads another 5 books.
10 + 5 = 15
so in total britney has read 15 books in total
Answer:
Step-by-step explanation:
The painting would cost $ 387.45. Because 2'3"=24"+3"=27 inches and<span>3'5"=36"+5"=41 inches. The area will 1107 when 27 is multiplied with 41. The cost is obtained through multiplying 0.35 and 1107. Their product is 387.45. The painting costs $ 387.45
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Answer:
TPW is a isosceles because it has at least two equal sides and two equal angles (two congruent sides and angles)
Step-by-step explanation:
Hope that helps dude !
