Answer:
The distance of the foot ladder from the bottom of the wall is 5cm.
Step-by-step explanation:
Step 1-2: Read the questions carefully and illustrate the problem, also draw and label the triangle (illustration of the triangle has been indicated).
[tex]\: [/tex]
Step 3: Setting up the equation. Applying the Pythagorean Theorem Formula: a ² + b ² = c ² will be x ² + 12 ² = 13 ²
[tex]\: [/tex]
Step 4: Solve the equation.
- x ² + 12 ² = 13 ² (by SPE)
- x ² = 13 ² - 12 ²
- x ² = (13+12) (13-12)
- x ² = (25)(1)
- x ² = 25
- x = [tex]\sqrt{5}[/tex]
- x = 5
[tex]\: [/tex]
Step 5: Write a therefore statement. Therefore, the distance of the foot of the ladder from the bottom of the wall is 5m.
