5. a) calculated answer : 4.123 (rounded to the nearest thousandths)
b) calculated answer : 9.219 (rounded to the nearest thousandths)
(first way) You have to find the two closest square roots to the number you are looking for (17 & 85) and then determine whether it is less than half way or more than half way. After you figure that out, you put a decimal either less than .5, more than .5, or exactly .5
(second way) You have to find the two closest square roots to the number you are looking for (17 & 18) and subtract the larger square root to the smaller square root and that will be your denominator. Your numerator will depend on how far your number is to the smallest square root. Eg. 17 is one away from 16 therefore the numerator will be 1.
7. To answer this question, I did almost the same thing as number 5, except I changed the numbers.
Here is a video about estimating square roots. It isn't really how we learned it today but it's almost the same, just a different way.
Here is a link to help you with estimating square roots. It really helps! (:
1. Answer in a short paragraph and with diagrams.
The a² and b² represents the area of the two legs and the c² represents the area of the hypotenuse which is also the longest side of a right triangle. The pythagorean relationship determines whether or not the triangle is a right triangle by adding up the two areas of the legs and if a² + b² = c² it is a right triangle. If a² + b² do not add up to c² it is not a right triangle.
2. Solve for the missing side length.
3. Is this a right triangle? Prove it!!!
No, because the sum of the area of the two legs do not equal to the hypotenuse. In conclusion, this triangle is NOT a right triangle.