Answer:
8.9 ft. (Option C)
Explanation:
Here, we are given a right angled triangle. We are asked to find the value of perpendicular (y).
We'll be using pythagoras property.
According to the pythagoras property, sum of the squares of base and perpendicular is equivalent to the square of hypotenuse.
Here,
- Hypotenuse = 12 ft
- Base = 8 ft
- Perpendicular (y) = ?
→ H² = B² + P²
→ H² - B² = P²
→ (12 ft)² - (8 ft)² = y²
→ 144 ft² - 64 ft² = y²
→ 80 ft² = y²
→ √(80 ft²) = y
→ 8.94427191 ft = y
→ 8.9 ft = y
Value of y is 8.9. (Option c)