Answer:
x = 2.75
Explanation:
Given sides of triangle,
→ AB = 2.25 + x
→ AC = 3
→ BC = 4
Now we have to,
→ Find the required value of x.
Formula we use,
→ Pythagoras theorem
→ AB² = AC² + BC²
Forming the equation,
→ (2.25 + x)² = (3)² + (4)²
Then the value of x will be,
→ (2.25 + x)² = (3)² + (4)²
→ (2.25 + x)² = 9 + 16
→ (2.25 + x)² = 25
→ 2.25 + x = √(25)
→ 2.25 + x = 5
→ x = 5 - 2.25
→ [ x = 2.75 ]
Hence, the value of x is 2.75.