Answer:
- shortest: 3 ft
- other: 4 ft
Step-by-step explanation:
The right triangle with hypotenuse 5 that has legs that differ by 1 is the 3-4-5 right triangle. The legs are 3 ft and 4 ft.
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<em>Alternate solution</em>
If you have never heard of a 3-4-5 right triangle, you can figure the leg lengths algebraically using the Pythagorean theorem. Let x represent the length of the "other" leg. Then the shortest is (x-1). The Pythagorean theorem tells you ...
5^2 = (x)^2 +(x -1)^2
25 = 2x^2 -2x +1
12 = x^2 -x = x(x -1)
Factors of 12 that differ by 1 are 3 and 4 or -3 and -4. We want x to be positive, so the value of interest is x=4
The "other" leg is 4 ft; the shortest leg is 3 ft.
Since B is the midpoint, set the expressions as an equation and solve for x. So 3x-2=6x-5.
x will be 1. Substituting 1 for x, that means AB=1 and BC=1 So AC will be 2.
Your answer is 2
The weights of their backpacks would be discrete
9514 1404 393
Answer:
(d) -√((2+√2)/(2-√2))
Step-by-step explanation:
5π/8 is a 2nd-quadrant angle whose reference angle is greater than π/4. This means the tangent is negative with a magnitude greater than 1. The only reasonable choice is ...
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<em>Additional comment</em>
This simplifies to -(1+√2). Your calculator can verify the choice for you.
