Answer:
The value of y is 6[tex]\sqrt{3}[/tex] units ⇒ 2nd answer
Step-by-step explanation:
In the attached figure
∵ ∠MTN is a right angle
∵ TU is the altitude of the triangle
- There are some rules in this triangle let us revise them
- (NT)² = NU . NM
- (MT)² = MU . MN
- (TU)² = MU . NU
- TM . TN = TU . MN
∵ NU = 9 units
∵ UM = 3 units
∵ MN = UM + NU
∴ MN = 3 + 9 = 12 units
- By using the 1st rule above
∴ (NT)² = 9 × 12
∴ (NT)² = 108
- Take a square root to both sides
∴ NT = [tex]\sqrt{108}[/tex]
- Simplify the root
∴ NT = 6[tex]\sqrt{3}[/tex] units
∵ NT is y
∴ y = 6[tex]\sqrt{3}[/tex] units
The value of y is 6[tex]\sqrt{3}[/tex] units
