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Q. Illustrate Pythagorean Theorem?
Ans.
You have definitely seen the Pythagorean Theorem before, so a2+ b2 = c2 should look familiar to you.
The Pythagorean Theorem applies to right triangles (and only right triangles), where c is the length of the hypotenuse (the side opposite the right angle) and a and b are the lengths of the legs (the other two sides).
So in the following triangle, the Pythagorean theorem states that x2 + y2 = 1
You can use the Pythagorean theorem in reverse to tell whether a triangle is a right triangle.
Prove that one of every three consecutive integers is divisible by 3. Ans: n,n+1,n+2 be three consecutive positive integers We know that n is of the form 3q, 3q +1, 3q +
Empty Set or Null Set It is a set which having no elements. It is usually designated by a Greek letter Ø, or else { }. The sets Ø and { Ø } are not the same thing since the
If 7sin 2 ?+3cos 2 ? = 4, show that tan? = 1/√3 . Ans: If 7 Sin 2 ? + 3 Cos 2 ? = 4 S.T. Tan? 1/√3 7 Sin 2 ? + 3 Cos 2 ? = 4 (Sin 2 ? + Cos 2 ?)
A bag of 28 tulip bulbs contains 12 red tulip bulbs, 9 yellow tulip bulbs, and 7 purple tulip bulbs. Two bulbs are selected without replacement. Determine, a) The probability th
INTRODUCTION : Most of us, when planning the first mathematical experience for three-year olds, think in terms of helping them memorise numbers from 1 to 20. We also teach them to
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f all the permutations of the letters of the word chalk are written in a dictionary the rank of this word will be?
for all real numbers x, x 0
Q. Converting Mixed Numbers to Improper Fractions? Ans. Converting a mixed number to an improper fraction is easy. A single multiplication, and then a single addition:
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