What exactly is algebra?
Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.
What is algebra in maths for Class 6?
Algebra is the branch of mathematics that deals with the study of mathematical symbols and rules for manipulating these symbols. Algebra Class 6 will help you get acquainted with the basics of algebra.
What is formula of a3 b3?
a3 − b3 = (a − b)(a2 + ab + b2) 8. a3 + b3 = (a + b)(a2 − ab + b2) 9. an − bn = (a − b)(an−1 + an−2b + an−3b2 + ··· + bn−1)
What is the formula of a2 b2?
(A²-B²) = (A-B)² + 2AB.
What is a³ B³?
a³+b³=(a+b)(a²-ab+b²) a³-b³=(a-b)(a²+ab+b²) hope this help you.
What is a 2 B 2 called?
It ended up very simple. And it is called the “difference of two squares” (the two squares are a2 and b2). This illustration shows why it works: a2 − b2 is equal to (a+b)(a−b)
What is a2 +b2?
a2+b2 : as, (a+b)2 = a2 +b2 + 2ab. so, a2+b2=(a+b)2 – 2ab. hence, proved. dome7w and 4 more users found this answer helpful.
Is a B ² A² B²?
Answer. Answer: (a-b)²=a²+b²-2ab. so, your statement is false.
What is AB equal to?
Letter Grades and Grade Point Equivalents
| Grade | Grade Point Equivalent | Percentage Equivalent |
|---|---|---|
| A- | 3.7 | 90.0-92.9 |
| B+ | 3.3 | 87.1-89.9 |
| B | 3.0 | 83.0-87.0 |
| B- | 2.7 | 80.0-82.9 |
What is a 2 B 2 C 2 called?
a2 + b2 = c2. This is known as the Pythagorean equation, named after the ancient Greek thinker Pythagoras. This relationship is useful because if two sides of a right triangle are known, the Pythagorean theorem can be used to determine the length of the third side.
Is C2 always the hypotenuse?
The Pythagorean Theorem is a formula that gives a relationship between the sides of a right triangle The Pythagorean Theorem only applies to RIGHT triangles. NOTE: The side “c” is always the side opposite the right angle. Side “c” is called the hypotenuse. The sides adjacent to the right angle are named “a” and “b”.
Is Pythagorean theorem only for right triangles?
Note that the Pythagorean Theorem only works with right triangles. You can use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle if you know the length of the triangle’s other two sides, called the legs.
What is the formula A2 B2 C2 used for?
Introduction: Pythagorean Theorem The formula is A2 + B2 = C2, this is as simple as one leg of a triangle squared plus another leg of a triangle squared equals the hypotenuse squared.
How is Pythagorean theorem used in real life?
The Pythagorean Theorem is used to calculate the steepness of slopes of hills or mountains. A surveyor looks through a telescope toward a measuring stick a fixed distance away, so that the telescope’s line of sight and the measuring stick form a right angle.
For which triangle does the equation 42 42 c2 apply?
Step-by-step explanation: By Pythagoras theorem: In a right triangle, the square of hypotenuse is equal to the sum of the squares of other two sides.
Is the hypotenuse the longest side?
In a right triangle, the hypotenuse is the longest side, an “opposite” side is the one across from a given angle, and an “adjacent” side is next to a given angle. We use special words to describe the sides of right triangles. The hypotenuse of a right triangle is always the side opposite the right angle.
Is C the hypotenuse?
While C is the longest side which lies opposite to the right angle is Hypotenuse.
Does 5/12/13 make a right triangle?
Yes, a right triangle can have side lengths 5, 12, and 13. To determine if sides of length 5, 12, and 13 units can make up the sides of a right…
Can the hypotenuse be equal to a leg?
The correct answer is Triangle B. You can use the same formula to find the length of a right triangle’s leg if you are given measurements for the lengths of the hypotenuse and the other leg.
What is the SSS theorem?
SSS (side, side, side) If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
What is the leg of a triangle?
The legs of a right triangle are the two sides that intersect to determine the right angle. The remaining side is called the hypotenuse. Sometimes it is required to solve a right triangle to find the length of one or both of the legs of the right triangle.
Does it matter which leg you call a or b?
“a” and “b” are the “legs” of the right triangle, on equal footing 😉 as far as Pythagoras is concerned. Later, when dealing with oblique (not right) triangles, the sides of the triangle will be given names that are related to the angles opposite them, so which side is “a” and which is “b” will matter!
Is Side C on a triangle always the longest?
Side A and B does not matter when your trying to apply this to the pythagorean theorem but side C must always be the hypotenuse. The hypotenuse is always the triangle’s longest side. It is opposite the right angle.
Does 9 12 15 make a right triangle?
The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.
What kind of triangle is 30-60-90?
right triangle
How do you find a 30 60 90 Triangle?
In any triangle, you see the following: The shortest leg is across from the 30-degree angle, the length of the hypotenuse is always double the length of the shortest leg, you can find the long leg by multiplying the short leg by the square root of 3.
Are all isosceles triangles 30 60 90?
This is an isosceles right triangle. The other triangle is named a 30-60-90 triangle, where the angles in the triangle are 30 degrees, 60 degrees, and 90 degrees….45-45-90 and 30-60-90 Triangles.
| Hypotenuse Length | Leg Length |
|---|---|
| 1.4142 | 1 |