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:
y=3x+5
Step-by-step explanation:
This is th eanswer because slope intercept form is always y=mx+b.
So, if you simplify the right side of the equation, you then get
y-6=3x-1, I got that because 3 multiplied by -1/3, you get -1.
Then you add 6 to both sides to isolate y by itself. So, now you have
y=3x+5.
Hope this is helpful
The answer is 225
15•15=225
Answer:
105 sq. cm
Step-by-step explanation:
The shortest altitude will ⊥ to the longest side.
A = (1/2)bh
=.5(30)(7)
= 105 sq. cm
Answer:
He will have to work 5 weeks.
Step-by-step explanation:
He needs to earn $200, because he already has $60 saved up. The amount of money he need divided by the amount he earn each week will get you $200.
