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2 years ago

B 15 C А. Find the length of "a"using the Pythagorean Theorem.

Mathematics

1 answer:

Sav [38]2 years ago

7 0

Answer:

a = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Identify

We are given a right triangle. We can use PT to solve for the missing length a.

Step 2: Define

hypotenuse c = 15

leg b = 9

leg a = ?

Step 3: Find missing length a

Substitute in variables: a² + 9² = 15²
Isolate a term: a² = 15² - 9²
Exponents: a² = 225 - 81
Subtract: a² = 144
Isolate a: a = ±12

Since we are not dealing with a quadrant triangle, we can disregard the negative root of the quadratic.

∴ a = 12 is our final answer.

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