Question

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

Answer 1

Value of X = 12

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

Answer 2

B. x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Trigonometry

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

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

1. Substitute: 9² + x² = 15²
2. Isolate x term: x² = 15² - 9²
3. Exponents: x² = 225 - 81
4. Subtract: x² = 144
5. Isolate x: x = 12