Find the value of x in the triangle shown below.
15
X
19

B. x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Trigonometry

Step-by-step explanation:

Step 1: Define

We have a right triangle. Therefore, we can use PT to solve for the missing side.

Step 2: Identify Variables

Leg a = 9

Leg b = x

Hypotenuse c = 15

Step 3: Solve for x

Given - A right angle triangle

To find - Value of X

Solution -

using Pythagoras Theorem

(Altitude)^2 + (base)^2 = (Hypotenuse) ^2

(x)^2 + (9)^2 = (15)^2

x^2 + 81 = 225

x^2 = 225 - 81

x^2 = 144

x= root 144

x = 12

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