Question

Find the missing side length of the triangle 10m 7.5m

Answer 1

c = 12.5

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

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Trigonometry

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

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

Explanation:

Step 1: Identify

Leg a = 7.5

Leg b = 10

Hypotenuse c = c

Step 2: Solve for c

1. Substitute in variables [Pythagorean Theorem]: 7.5² + 10² = c²
2. Rewrite: c² = 7.5² + 10²
3. Evaluate exponents: c² = 56.25 + 100
4. Add: c² = 156.25
5. [Equality Property] Square root both sides: c = 12.5