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jcutler2751
02.03.2021 •
Mathematics
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Ответ:
a = 4
Step-by-step explanation:
a^2 + b^2 = c^2
a= ?
b= 3
c= 5 (c is always the hypotenuse)
*plug in given values
a^2 + 3^2 = 5^2
a^2 + 9 = 25
-9 -9
a^2 = 16
*find the square root
sqrt(a) = sqrt(16)
a = 4
Ответ:
a = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Leg a = a
Leg b = 3
Hypotenuse c = 5
Step 2: Solve for a
Substitute in variables [Pythagorean Theorem]: a² + 3² = 5²[Subtraction Property of Equality] Isolate a term: a² = 5² - 3²Evaluate exponents: a² = 25 - 9Subtract: a² = 16[Equality Property] Isolate a: a = ±4Since we are dealing with a regular right triangle and not a quadrant triangle, we use the positive root.
∴ a = 4
Ответ:
5.52
8.28
3.45
6.555
24.84