Jessica is thinking of a number that rounds to 1,300 for the nearest ten and for the nearest hundred.What number might she be th
inking of ?
1 answer:
You might be interested in
Answer:
3, 14, and StartRoot 205 EndRoot
19, 180, and 181
2, 9, and StartRoot 85 EndRoot
Step-by-step explanation:
we know that
In a right triangle, the length sides must satisfy the Pythagorean Theorem
so
where
c is the greater side (the hypotenuse)
a and b are the legs
Part 1) we have
3, 14, and StartRoot 205 EndRoot
we have
substitute
----> is true
Satisfy the Pythagorean theorem
therefore
These are the lengths of a right triangle
Part 2) we have
6, 11, and StartRoot 158 EndRoot
we have
substitute
----> is not true
Not satisfy the Pythagorean theorem
therefore
These are not the lengths of a right triangle
Part 3) we have
19, 180, and 181
we have
substitute
----> is true
Satisfy the Pythagorean theorem
therefore
These are the lengths of a right triangle
Part 4) we have
3, 19, and StartRoot 380 EndRoot
we have
substitute
----> is not true
Not satisfy the Pythagorean theorem
therefore
These are not the lengths of a right triangle
Part 5) we have
2, 9, and StartRoot 85 EndRoot
we have
substitute
----> is true
Satisfy the Pythagorean theorem
therefore
These are the lengths of a right triangle