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Alina [70]
3 years ago
10

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

Mathematics
1 answer:
Sav [38]3 years ago
7 0

Answer:

<em>a</em> = 12

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Trigonometry</u>

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

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

Step-by-step explanation:

<u>Step 1: Identify</u>

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

<u>Step 2: Define</u>

hypotenuse <em>c</em> = 15

leg <em>b</em> = 9

leg <em>a</em> = ?

<u>Step 3: Find missing length </u><em><u>a</u></em>

  1. Substitute in variables:                    a² + 9² = 15²
  2. Isolate <em>a</em> term:                                  a² = 15² - 9²
  3. Exponents:                                       a² = 225 - 81
  4. Subtract:                                           a² = 144
  5. Isolate <em>a</em>:                                           a = ±12

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

∴ <em>a</em> = 12 is our final answer.

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Pie

Answer:

The height of the wall is 9.17ft

Step-by-step explanation:

The length of the ladder is 10ft

Distance from the foot of the ladder to the wall is 4ft

The height of ladder is unknown.

To solve this question, you'll require a pictorial illustration of the situation. Kindly check attached document for that.

Since it's a right angle triangle, we have two sides with one sides unknown, we can use pythagorean theorem to find the third side.

The hypothenus (x) is 10ft

The adjacent is (y) 4 ft

The opposite (z) (height of the wall) is unknown.

X² = Y² + Z²

10² = 4² + Z²

100 = 16 + Z²

Z² = 100 - 16

Z² = 84

Z = √(84)

Z = 9.165 = 9.17ft

The height of the wall is 9.17ft

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Here ya go, enjoy my answer and good luck!

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Answer:

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Step-by-step explanation:

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