Question

If A ( 0 , 8 ) and B( k , 0 ) are given points and AB = 10 , then k ( k >0 )= ____ . ( 16 , 6 , 60​

Answer 1

Answer:

6

Step-by-step explanation:

Using distance formula,  if there are two points (x, y₁) and (x₂, y₂), then the distance between them is √(x₁ - x₂)² + (y₁ - y₂)²

therefore, here,

⇒ √(0 - k)² + (8 - 0)² = 10

⇒ k² + 8² = 10²

⇒ k² = 100 - 64

⇒ k = √36

⇒ k = ± 6

As k > 0,  it can't be -ve .

k = 6

Answer 2

Answer:

• 6

Step-by-step explanation:

Given

• A ( 0 , 8 ) and B ( k , 0 ) are the points.
• AB = 10 units

To find

• k
• ( k > 0 )

Solution

We are given two points (x₁, y₁) and (x₂, y₂)

Where :

• x₁ = 0
• y₁ = 8
• x₂ = k
• y₂ = 0

Using distance formula :

• √(x₁ - x₂)² + (y₁ - y₂)² = 10 (AB)

Substituting we get :

• √(0 - k)² + (8 - 0)² = 10
• k² + 8² = 10²
• k² + 64 = 100
• k² = 36
• k = √36
• k = 6

Hence, the value of k is 6 and its > 0.