The Friends of the library meet on the third Sunday of every month. What is the latest possible day of the month that this meeting could take place?
a) the 20th b) 21st c) 22nd d) 23rd e) 24th
The lengths of 2 sides of a triangle are 2 and 21. What is one possible length of the third side?
2007-07-25 02:27:41 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
please EXPLAIN!
2007-07-25 02:38:51 · update #1
1). The latest possible day would be the 24th,
which could happen only if the month had 31 days.
If it were any later, there would have to be at least
32 days in the month.
2). There are many possible answers for this
question.
One answer is 21. Then we have an isosceles triangle.
If the triangle is a right triangle and 21 is the
hypotenuse,
21 = 2²+ b²
b = √437.
On the other hand, if 21 is a leg,
c² = a²+b²= 21²+4
c = √445.
A more challenging question for you:
Find ALL possible values of the 3rd side!
(Hint: Law of cosines)
2007-07-25 04:19:52 · answer #1 · answered by steiner1745 7 · 0⤊ 0⤋
b) because if they meet on the third Sunday of every month. If they meet in February, the 24th can't be on Sunday because there are only 28 days and the 4th Sunday would be the 31st.
and 21 (if it's an isosceles triangle = 2 equal sides)
2007-07-25 02:38:36 · answer #2 · answered by sportsstar4u 3 · 0⤊ 0⤋
e) and 21
2007-07-25 02:34:18 · answer #3 · answered by Anonymous · 0⤊ 0⤋