Answer: No, we don't have a right triangle
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Explanation:
If a triangle with sides a,b,c makes the equation a^2+b^2 = c^2 true, where c is the longest side, then this triangle is a right triangle. This is the converse of the pythagorean theorem.
Here we have a = 2, b = 5 and c = 7.
So...
a^2+b^2 = c^2
2^2+5^2 = 7^2
4+25 = 49
29 = 49
The last equation is false, so the first equation is false for those a,b,c values. Therefore, we do <u>not</u> have a right triangle.
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In contrast, consider the classic 3-4-5 right triangle
a = 3, b = 4 and c = 5 would make a^2+b^2 = c^2 true because 3^2+4^2 = 5^2 is a true equation (both sides lead to 25).
For this item, we may let x be the number or liters of apple juice present in the ginger ale. The total volume of the punch then becomes
total volume = 2 + x
Then, considering that 75% of this is apple juice,
x/(2 + x) = 0.75
x = 0.75(2 + x) = 1.5 + 0.75x
x = 1.5 + 0.75x
Also, for this item, the vaue of x is equal to 6 liters.
Use trigonometry to find the angle between the segments 3 and 6.
∠XOB = arccos(3/6) = 60°
The measure of arc AB is double that angle, since the figure is symmetrical about the line containing the segment of length 3.
m(arc AB) = 2·60° = 120°
Since al is taller than bob and bob is taller then carl that would mean that carl is the shortest there and al is the tallest
Answer:
2/5 of 3 = 2/5 * 3 = 6/5....what he plants
(6/5) / 5 = 6/5 * 1/5 = 6/25 <== what each friend got
Step-by-step explanation:
